{"id":2338,"date":"2020-11-20T02:37:05","date_gmt":"2020-11-19T17:37:05","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=2338"},"modified":"2022-07-20T18:45:07","modified_gmt":"2022-07-20T09:45:07","slug":"simultaneous","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/simultaneous.html","title":{"rendered":"\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\uff1a\u52a0\u6e1b\u6cd5\u30fb\u4ee3\u5165\u6cd5\u3068\u6587\u7ae0\u984c\u306e\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u6570\u5b66\u3067\u306f2\u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5f0f\u306e\u4e2d\u306b\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u5f0f\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>2\u3064\u4ee5\u4e0a\u306e\u65b9\u7a0b\u5f0f\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u3082\u306e\u3092<span 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\\left\\{\\begin{array}{l}2x+3y=8\\\\2x+5y=12\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p><span style=\"color: #0000ff;\">\u4e21\u65b9\u306e\u5f0f\u3092\u6e80\u305f\u3059\\(x\\)\u3068\\(y\\)\u306f1\u3064\u3067\u3059\u3002<\/span>\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c\u8907\u6570\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u660e\u78ba\u306a\u7b54\u3048\u3092\u51fa\u305b\u308b\u306e\u3067\u3059\u3002\u91cd\u8981\u306a\u306e\u306f\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u304c2\u3064\u3042\u308b\u3053\u3068\u3067\u3059\u3002\u4ee5\u4e0b\u306e2\u3064\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u52a0\u6e1b\u6cd5<\/li>\n<li>\u4ee3\u5165\u6cd5<\/li>\n<\/ul>\n<p>\u305d\u308c\u305e\u308c\u306e\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3001\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u52a0\u6e1b\u6cd5\u306f\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\u306b\u3088\u3063\u3066\\(x\\)\u307e\u305f\u306f\\(y\\)\u3092\u6d88\u3059<\/h2>\n<p>\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u306b\u3088\u3063\u3066\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u5f0f\u3092\u89e3\u304f\u65b9\u6cd5\u3092<span style=\"color: #ff0000;\">\u52a0\u6e1b\u6cd5<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u3001\\(x\\)\u307e\u305f\u306f\\(y\\)\u306e\u3069\u3061\u3089\u304b\u4e00\u65b9\u3092\u6d88\u3059\u306e\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u5148\u307b\u3069\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u3042\u308c\u3070\u3001\u5171\u901a\u3059\u308b\u6587\u5b57\u3068\u3057\u3066\\(2x\\)\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5f15\u304d\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2346\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/hjfd1.jpg\" alt=\"\" width=\"413\" height=\"341\" \/><\/p>\n<p>\u4fc2\u6570\u304c\u540c\u3058\u5834\u5408\u3001\u52a0\u6e1b\u6cd5\u306b\u3088\u3063\u3066\u6587\u5b57\u3092\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4eca\u56de\u306e\u8a08\u7b97\u3067\u306f\u3001\u65b9\u7a0b\u5f0f\u540c\u58eb\u306e\u5f15\u304d\u7b97\u306b\u3088\u3063\u3066\\(y=2\\)\u3068\u7b54\u3048\u3092\u51fa\u305b\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u4ee3\u5165\u3057\u3066\\(x\\)\u307e\u305f\u306f\\(y\\)\u306e\u5024\u3092\u51fa\u3059<\/strong><\/p>\n<p>\u305d\u306e\u5f8c\u3001\u3082\u3046\u4e00\u65b9\u306e\u7b54\u3048\u3082\u51fa\u3057\u307e\u3057\u3087\u3046\u3002\\(y=2\\)\u3068\u5206\u304b\u3063\u305f\u305f\u3081\u3001\u6b21\u306f\\(x\\)\u306e\u5024\u3092\u51fa\u3059\u306e\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u5f0f\u306b\u5bfe\u3057\u3066\u3001\u3069\u3061\u3089\u304b\u4e00\u65b9\u306b\\(y=2\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}2x+3y=8\\\\2x+5y=12\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u3069\u3061\u3089\u306b\\(y=2\\)\u3092\u4ee3\u5165\u3057\u3066\u3082\u3044\u3044\u3067\u3059\u3002\u4e21\u65b9\u3068\u3082\u3001\u540c\u3058\u7b54\u3048\u306b\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(2x+3y=8\\)\u306e\u5834\u5408<\/li>\n<\/ul>\n<p>\\(2x+3\u00d72=8\\)<\/p>\n<p>\\(2x+6=8\\)<\/p>\n<p>\\(2x=2\\)<\/p>\n<p>\\(x=1\\)<\/p>\n<ul>\n<li>\\(2x+5y=12\\)\u306e\u5834\u5408<\/li>\n<\/ul>\n<p>\\(2x+5\u00d72=12\\)<\/p>\n<p>\\(2x+10=12\\)<\/p>\n<p>\\(2x=2\\)<\/p>\n<p>\\(x=1\\)<\/p>\n<p>2\u3064\u306e\u5f0f\u3092\u6e80\u305f\u3059\\(x\\)\u3068\\(y\\)\u3092\u51fa\u3059\u306e\u304c\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u5f53\u7136\u306a\u304c\u3089\u3001\u3069\u3061\u3089\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3082\u6700\u7d42\u7684\u306a\u7b54\u3048\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n<h3>\u30d7\u30e9\u30b9\u3068\u30de\u30a4\u30ca\u30b9\u3067\u8db3\u3057\u7b97\u30fb\u5f15\u304d\u7b97\u3092\u533a\u5225\u3059\u308b<\/h3>\n<p>\u306a\u304a\u8db3\u3057\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u5f15\u304d\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u306b\u3064\u3044\u3066\u306f\u3001\u7b26\u5408\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<span style=\"color: #0000ff;\">\u4fc2\u6570\u306e\u7d76\u5bfe\u5024\u304c\u540c\u3058\u3067\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u7b26\u5408\u304c\u30d7\u30e9\u30b9\u306a\u306e\u304b\u30de\u30a4\u30ca\u30b9\u306a\u306e\u304b\u306b\u3088\u3063\u3066\u8a08\u7b97\u65b9\u6cd5\u304c\u5909\u308f\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>\u5148\u307b\u3069\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u4fc2\u6570\u306e\u7d76\u5bfe\u5024\u3068\u7b26\u5408\u304c\u540c\u3058\u3067\u3057\u305f\u3002\u305d\u306e\u305f\u3081\u3001\u5f15\u304d\u7b97\u3092\u3057\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u4fc2\u6570\u306e\u7d76\u5bfe\u5024\u306f\u540c\u3058\u3067\u3042\u308b\u3082\u306e\u306e\u3001\u7b26\u5408\u304c\u9055\u3046\u5834\u5408\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}2x+2y=8\\\\4x-2y=10\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u8db3\u3057\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2348\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/hjfd3.jpg\" alt=\"\" width=\"401\" height=\"333\" \/><\/p>\n<p>\u305d\u306e\u5f8c\u3001\\(x=3\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\\(y=1\\)\u3068\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u52a0\u6e1b\u6cd5\u3067\u8db3\u3057\u7b97\u3092\u3059\u308b\u306e\u304b\u5f15\u304d\u7b97\u3092\u3059\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u306f\u3001\u6d88\u3057\u305f\u3044\u6587\u5b57\u304c\u30d7\u30e9\u30b9\u306a\u306e\u304b\u30de\u30a4\u30ca\u30b9\u306a\u306e\u304b\u306b\u3088\u3063\u3066\u533a\u5225\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\\(x\\)\u307e\u305f\u306f\\(y\\)\u306e\u4fc2\u6570\u3092\u63c3\u3048\u308b<\/h3>\n<p>\u5148\u307b\u3069\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u975e\u5e38\u306b\u7c21\u5358\u306a\u4f8b\u3092\u7528\u3044\u3066\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u5b9f\u969b\u306e\u8a08\u7b97\u3067\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u65b9\u7a0b\u5f0f\u306e\\(x\\)\u3084\\(y\\)\u306e\u7d76\u5bfe\u5024\u304c\u7570\u306a\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}2x+3y=16\\\\3x-4y=10\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\\(x\\)\u3068\\(y\\)\u306e\u4e21\u65b9\u3068\u3082\u3001\u6570\u5b57\u306e\u7d76\u5bfe\u5024\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001<span style=\"color: #0000ff;\">\u4e21\u8fba\u306e\u639b\u3051\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u7d76\u5bfe\u5024\u3092\u5408\u308f\u305b\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2349\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/hjfd6.jpg\" alt=\"\" width=\"600\" height=\"165\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u6587\u5b57\u306e\u524d\u306b\u3042\u308b\u6570\u5b57\u306e\u7d76\u5bfe\u5024\u3092\u63c3\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u65b9\u7a0b\u5f0f\u306e\u8db3\u3057\u7b97\u307e\u305f\u306f\u5f15\u304d\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\\(x\\)\u3068\\(y\\)\u306e\u5024\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(x\\)\u3068\\(y\\)\u306e\u3046\u3061\u3001\u3069\u3061\u3089\u306e\u7d76\u5bfe\u5024\u3092\u63c3\u3048\u308b\u306e\u304b\u306f\u3042\u306a\u305f\u6b21\u7b2c\u3067\u3059\u3002\u8a08\u7b97\u3057\u3084\u3059\u3044\u3088\u3046\u306b\u3001\u4fc2\u6570\u306e\u7d76\u5bfe\u5024\u3092\u5408\u308f\u305b\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb\u5206\u6570\u8a08\u7b97\u3067\u306f\u3001\u5206\u6570\u3092\u306a\u304f\u3059\u306e\u304c\u57fa\u672c<\/strong><\/p>\n<p>\u306a\u304a\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u5f0f\u306e\u4e2d\u306b\u5206\u6570\u304c\u3042\u308b\u30b1\u30fc\u30b9\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u5206\u6570\u306e\u8db3\u3057\u7b97\u3068\u5f15\u304d\u7b97\u306f\u96e3\u3057\u304f\u3001\u8a08\u7b97\u30df\u30b9\u304c\u983b\u7e41\u306b\u8d77\u3053\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u4e21\u8fba\u306e\u639b\u3051\u7b97\u3092\u3059\u308b\u3053\u3068\u3067\u3001\u5206\u6570\u3092\u306a\u304f\u3059\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u5206\u6570\u304c\u5f0f\u306e\u4e2d\u306b\u3042\u308b\u5834\u5408\u3001\u5206\u6570\u3092\u306a\u304f\u3059\u3053\u3068\u304c\u7b54\u3048\u3092\u51fa\u3059\u30b3\u30c4\u3067\u3059\u3002<\/p>\n<h2>\u4ee3\u5165\u6cd5\u306b\u3088\u308a\u3001\u6587\u5b57\u3092\u6d88\u53bb\u3059\u308b<\/h2>\n<p>\u306a\u304a\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u3082\u3046\u4e00\u3064\u89e3\u304d\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u304c<span style=\"color: #ff0000;\">\u4ee3\u5165\u6cd5<\/span>\u3067\u3059\u3002\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u3001\\(x\\)\u3084\\(y\\)\u306b\u7279\u5b9a\u306e\u6570\u5b57\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u7b54\u3048\u3092\u51fa\u3057\u305f\u3053\u3068\u304c\u3042\u308b\u306f\u305a\u3067\u3059\u3002\u6570\u5b66\u3067\u306f\u3001\u4ee3\u5165\u3059\u308b\u306e\u306f\u6570\u5b57\u3060\u3051\u3067\u306a\u304f\u6587\u5b57\u3067\u3082\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u7b54\u3048\u3092\u51fa\u305b\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u4ee3\u5165\u6cd5\u306b\u3088\u3063\u3066\u89e3\u3044\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}x+3y=11\\\\2x-4y=-8\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u4ee3\u5165\u6cd5\u3067\u306f\u3001\u5fc5\u305a\\(x=\u2610\\)\u307e\u305f\u306f\\(y=\u2610\\)\u306e\u5f0f\u306b\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6587\u5b57\u306e\u524d\u306e\u4fc2\u6570\u306f\u5fc5\u305a1\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u5148\u307b\u3069\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\\(x+3y=11\\)\u306e\u5f62\u3092\u5909\u3048\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3001\\(3y\\)\u3092\u79fb\u9805\u3059\u308b\u3053\u3068\u3067\\(x=\u2610\\)\u306e\u5f62\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(x+3y=11\\)<\/p>\n<p>\\(x=-3y+11\\)<\/p>\n<p>\u65b9\u7a0b\u5f0f\u306e\u5f62\u3092\u5909\u3048\u308b\u3053\u3068\u3067\u3001\\(x=-3y+11\\)\u3068\u306a\u308a\u307e\u3059\u3002\\(x\\)\u306f\\(-3y+11\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u3082\u3046\u4e00\u65b9\u306e\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\\(2x-4y=-8\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u52a0\u6e1b\u6cd5\u3068\u540c\u3058\u3088\u3046\u306b\\(x\\)\u3092\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-2350\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2020\/11\/hjfd9.jpg\" alt=\"\" width=\"600\" height=\"465\" \/><\/p>\n<p>\u307e\u305f\\(y=3\\)\u3092\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\\(x=2\\)\u3068\u7b54\u3048\u304c\u51fa\u307e\u3059\u3002<\/p>\n<p>\\(x=-3y+11\\)<\/p>\n<p>\\(x=-3\u00d73+11\\)<\/p>\n<p>\\(x=2\\)<\/p>\n<p>\u4ee3\u5165\u6cd5\u3067\u306f\u3001\\(x\\)\u307e\u305f\u306f\\(y\\)\u306e\u4fc2\u6570\u30921\u306b\u3057\u307e\u3057\u3087\u3046\u3002\\(x=\u2610\\)\u307e\u305f\u306f\\(y=\u2610\\)\u306e\u5f0f\u3092\u4f5c\u3063\u305f\u5f8c\u3001\u3082\u3046\u4e00\u65b9\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u52a0\u6e1b\u6cd5\u3068\u4ee3\u5165\u6cd5\u306f\u3069\u3063\u3061\u3092\u4f7f\u3063\u3066\u3082\u3044\u3044<\/h3>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u304d\u3001\u52a0\u6e1b\u6cd5\u3068\u4ee3\u5165\u6cd5\u306e\u3069\u3061\u3089\u3092\u4f7f\u3048\u3070\u3044\u3044\u306e\u304b\u7591\u554f\u306b\u601d\u3046\u4eba\u304c\u3044\u307e\u3059\u3002\u3053\u308c\u306b\u3064\u3044\u3066\u306f\u3001\u3069\u3061\u3089\u306e\u65b9\u6cd5\u3092\u5229\u7528\u3057\u3066\u3082\u3044\u3044\u3067\u3059\u3002<\/p>\n<p>\u554f\u984c\u306b\u3088\u3063\u3066\u3001\u52a0\u6e1b\u6cd5\u3092\u5229\u7528\u3059\u308b\u65b9\u304c\u7c21\u5358\u306a\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u3042\u308b\u3068\u304d\u306f\u4ee3\u5165\u6cd5\u3092\u5229\u7528\u3059\u308b\u65b9\u304c\u7c21\u5358\u306a\u8a08\u7b97\u306b\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u6570\u5b66\u3067\u306f\u3067\u304d\u308b\u3060\u3051\u7c21\u5358\u306a\u8a08\u7b97\u3092\u3059\u308b\u307b\u3069\u3001\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001<span style=\"color: #0000ff;\">\u52a0\u6e1b\u6cd5\u3068\u4ee3\u5165\u6cd5\u306e\u4e21\u65b9\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u7b54\u3048\u3092\u51fa\u3059\u65b9\u6cd5\u304c2\u3064\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3067\u3059\u3002<\/p>\n<p>\u3069\u3061\u3089\u306e\u89e3\u304d\u65b9\u304c\u6700\u9069\u306a\u306e\u304b\u306b\u3064\u3044\u3066\u306f\u3001\u554f\u984c\u306b\u3088\u3063\u3066\u5909\u308f\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u300c\u8a08\u7b97\u304c\u7c21\u5358\u306b\u306a\u308b\u307b\u3046\u306f\u3069\u3061\u3089\u304b\u300d\u3092\u8003\u3048\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u6587\u7ae0\u984c\u306e\u89e3\u304d\u65b9<\/h2>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u7406\u89e3\u3057\u305f\u5f8c\u306f\u3001\u6587\u7ae0\u984c\u306e\u7b54\u3048\u3092\u51fa\u305b\u308b\u3088\u3046\u306b\u306a\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u7fd2\u3046\u524d\u306f\u3001\u5fc5\u305a\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u5b66\u3073\u307e\u3059\u3002\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3067\u3082\u3001\u6587\u7ae0\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u6570\u5b66\u3067\u6587\u7ae0\u554f\u984c\u3092\u89e3\u304f\u65b9\u6cd5\u306f\u6c7a\u307e\u3063\u3066\u304a\u308a\u3001\u554f\u984c\u6587\u304b\u3089\u5f0f\u3092\u4f5c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u3082\u3001\u6700\u521d\u306b\u5f0f\u3092\u4f5c\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3092\\(x\\)\u3068\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001<span style=\"color: #ff0000;\">\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3092\u305d\u308c\u305e\u308c\\(x\\)\u3068\\(y\\)\u306b\u3057\u307e\u3059\u3002<\/span>\u305d\u306e\u5f8c\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u4f5c\u3063\u3066\u7b54\u3048\u3092\u51fa\u3057\u307e\u3059\u3002\u5168\u4f53\u306e\u6d41\u308c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3092\\(x\\)\u3068\\(y\\)\u306b\u3059\u308b<\/li>\n<li>2\u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u4f5c\u308b<\/li>\n<li>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f<\/li>\n<\/ul>\n<p>\u4ee3\u6570\u5f0f\u3067\u306f\u3001\u5fc5\u305a\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3092\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306b\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x\\)\u3068\\(y\\)\u3092\u4f7f\u3063\u3066\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u305f\u6587\u7ae0\u554f\u984c\u306e\u4f8b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u6587\u7ae0\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>Q.<\/strong> \u6b21\u306e\u6587\u7ae0\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046<\/p>\n<p>1\u500b200\u5186\u306e\u30aa\u30ec\u30f3\u30b8\u30681\u500b500\u5186\u306e\u30b9\u30a4\u30ab\u3092\u5408\u8a08\u306720\u500b\u8cb7\u3044\u3001\u5408\u8a08\u91d1\u984d\u306f8200\u5186\u3067\u3057\u305f\u3002\u30aa\u30ec\u30f3\u30b8\u3068\u30b9\u30a4\u30ab\u306f\u305d\u308c\u305e\u308c\u3001\u3044\u304f\u3064\u8cb7\u3044\u307e\u3057\u305f\u304b\u3002<\/p>\n<p><strong>A.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u6587\u7ae0\u984c\u3067\u306f\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3092\\(x\\)\u3068\\(y\\)\u306b\u3057\u307e\u3059\u3002\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u3068\u3057\u3066\u306f\u3001\u30aa\u30ec\u30f3\u30b8\u3068\u30b9\u30a4\u30ab\u3092\u8cb7\u3063\u305f\u6570\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30aa\u30ec\u30f3\u30b8\u3092\u8cb7\u3063\u305f\u6570\uff1a\\(x\\)<\/li>\n<li>\u30b9\u30a4\u30ab\u3092\u8cb7\u3063\u305f\u6570\uff1a\\(y\\)<\/li>\n<\/ul>\n<p>\u305d\u3046\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e2\u3064\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}x+y=20\\\\200x+500y=8200\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u30aa\u30ec\u30f3\u30b8\u3068\u30b9\u30a4\u30ab\u306e\u5408\u8a08\u306f20\u500b\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(x+y=20\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u30aa\u30ec\u30f3\u30b8\u306e\u91d1\u984d\u306f\\(200\u00d7x\\)\u3067\u3059\u3002\u30b9\u30a4\u30ab\u306e\u91d1\u984d\u306f\\(500\u00d7y\\)\u3067\u3059\u3002\u5408\u8a08\u91d1\u984d\u306f8200\u5186\u306a\u306e\u3067\u3001\\(200x+500y=8200\\)\u3068\u306a\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002\u4ee3\u5165\u6cd5\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<p>\\(x+y=20\\)<\/p>\n<p>\\(x=20-y\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(x=20-y\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n<p>\\(200\\color{red}{(20-y)}+500y=8200\\)<\/p>\n<p>\\(4000-200y+500y=8200\\)<\/p>\n<p>\\(300y=4200\\)<\/p>\n<p>\\(y=14\\)<\/p>\n<p>\u307e\u305f\\(y=14\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\\(x=6\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u30aa\u30ec\u30f3\u30b8\u30926\u500b\u3001\u30b9\u30a4\u30ab\u309214\u500b\u8cb7\u3063\u305f\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u5fc5\u305a\u7b54\u3048\u3092\u4ee3\u5165\u3057\u3066\u898b\u76f4\u3057\u3092\u3059\u308b<\/h3>\n<p>\u306a\u304a\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u7b54\u3048\u3092\u51fa\u3057\u305f\u5f8c\u306b\u5fc5\u305a\u898b\u76f4\u3057\u3092\u3059\u308b\u30af\u30bb\u3092\u4ed8\u3051\u307e\u3057\u3087\u3046\u3002\u898b\u76f4\u3057\u3092\u3059\u308b\u3053\u3068\u304c\u3001\u554f\u984c\u3092\u89e3\u304f\u3068\u304d\u306b\u8a08\u7b97\u30df\u30b9\u3092\u6e1b\u3089\u3059\u30b3\u30c4\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}4x+3y=14\\\\3x+2y=11\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u3053\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\\(x=3,y=1\\)\u3068\u306a\u3063\u305f\u3068\u3057\u307e\u3059\u3002\u305f\u3060\u3001\u3053\u306e\u7b54\u3048\u306f\u672c\u5f53\u306b\u6b63\u3057\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4e00\u3064\u306e\u5f0f\u3060\u3051\u3067\u306a\u304f\u3001\u4e21\u65b9\u306e\u5f0f\u306b\u5f53\u3066\u306f\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(4x+3y=14\\)\u306e\u8a08\u7b97<\/li>\n<\/ul>\n<p>\\(4\u00d73+3\u00d71=15\\)\u00a0: \u9593\u9055\u3044<\/p>\n<ul>\n<li>\\(3x+2y=11\\)\u306e\u8a08\u7b97<\/li>\n<\/ul>\n<p>\\(3\u00d73+2\u00d71=11\\)\u00a0: \u6b63\u3057\u3044<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u4e00\u3064\u306e\u65b9\u7a0b\u5f0f\u3067\u7b54\u3048\u304c\u5408\u3044\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u8a08\u7b97\u304c\u9593\u9055\u3063\u3066\u3044\u308b\u3068\u5206\u304b\u308a\u307e\u3059\u30022\u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u306e\u304c\u7b54\u3048\u3060\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u8a08\u7b97\u3057\u76f4\u3059\u3068\u3001\\(x=5,y=-2\\)\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u7b54\u3048\u306f\u4e21\u65b9\u306e\u5f0f\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u8ab0\u3067\u3082\u8a08\u7b97\u30df\u30b9\u3092\u3057\u307e\u3059\u3002\u305f\u3060\u3001\u8a08\u7b97\u30df\u30b9\u306f\u898b\u76f4\u3057\u306b\u3088\u3063\u3066\u9632\u3052\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u7df4\u7fd2\u554f\u984c\uff1a\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u8a08\u7b97\u3068\u6587\u7ae0\u984c\u306e\u89e3\u304d\u65b9<\/h2>\n<p><strong>Q1.<\/strong> \u6b21\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3057\u3087\u3046<\/p>\n<p><strong>(a)<\/strong><\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}0.4x+0.8y=6\\\\2x+1.2y=16\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p><strong>(b)<\/strong><\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}\\displaystyle\\frac{2}{3}x-\\displaystyle\\frac{3}{4}y=-5\\\\-\\displaystyle\\frac{1}{6}x+\\displaystyle\\frac{4}{2}y=23\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p><strong>A1.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u5206\u6570\u304c\u5f0f\u306e\u4e2d\u306b\u542b\u307e\u308c\u308b\u5834\u5408\u3001\u4e21\u8fba\u306e\u639b\u3051\u7b97\u306b\u3088\u3063\u3066\u5206\u6570\u3092\u306a\u304f\u3057\u307e\u3057\u3087\u3046\u3002\u540c\u6642\u306b\u3001\u7d76\u5bfe\u5024\u3092\u63c3\u3048\u308b\u3068\u3044\u3044\u3067\u3059\u3002<\/p>\n<p><strong>(a)<\/strong><\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}0.4x+0.8y=6\\\\2x+1.2y=16\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\\(x\\)\u3068\\(y\\)\u3092\u78ba\u8a8d\u3059\u308b\u3068\u3001\\(x\\)\u306e\u4fc2\u6570\u3092\u5408\u308f\u305b\u308b\u65b9\u304c\u7c21\u5358\u305d\u3046\u306b\u601d\u3048\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p>\n<p>\\(0.4x+0.8y=6\\)<\/p>\n<p>\\((0.4x+0.8y)\\color{red}{\u00d75}=6\\color{red}{\u00d75}\\)<\/p>\n<p>\\(2x+4y=30\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\u76f4\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}2x+4y=30\\\\2x+1.2y=16\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u3053\u308c\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\begin{array}{r}2x+4y=30\\\\\\underline{-)\\phantom{0}2x+1.2y=16}\\\\2.8y=14\\end{array}\\)<\/p>\n<p>\\(2.8y=14\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\\(y=5\\)\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\\(y=5\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\\(x=5\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(x=5,y=5\\)\u304c\u6b63\u89e3\u3067\u3059\u3002<\/p>\n<p><strong>(b)<\/strong><\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}\\displaystyle\\frac{2}{3}x-\\displaystyle\\frac{3}{4}y=-5\\\\-\\displaystyle\\frac{1}{6}x+\\displaystyle\\frac{4}{2}y=23\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u52a0\u6e1b\u6cd5\u3067\u3082\u4ee3\u5165\u6cd5\u3067\u3082\u3001\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u4e21\u8fba\u306e\u639b\u3051\u7b97\u306b\u3088\u3063\u3066\u5206\u6570\u3092\u6d88\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u8a08\u7b97\u306b\u3088\u3063\u3066\u3001\u305d\u308c\u305e\u308c\u306e\u65b9\u7a0b\u5f0f\u306e\u5206\u6570\u3092\u6d88\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{2}{3}x-\\displaystyle\\frac{3}{4}y=-5\\)<\/li>\n<\/ul>\n<p>\\(\\left(\\displaystyle\\frac{2}{3}x-\\displaystyle\\frac{3}{4}y\\right)\\color{red}{\u00d712}=-5\\color{red}{\u00d712}\\)<\/p>\n<p>\\(8x-9y=-60\\)<\/p>\n<ul>\n<li>\\(-\\displaystyle\\frac{1}{6}x+\\displaystyle\\frac{4}{2}y=23\\)<\/li>\n<\/ul>\n<p>\\(\\left(-\\displaystyle\\frac{1}{6}x+\\displaystyle\\frac{4}{2}y\\right)\\color{red}{\u00d7(-6)}=23\\color{red}{\u00d7(-6)}\\)<\/p>\n<p>\\(x-12y=-138\\)<\/p>\n<p>\\(x=12y-138\\)<\/p>\n<p>\u305d\u306e\u5f8c\u3001\\(x=12y-138\\)\u3092\u4ee3\u5165\u3057\u307e\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u3001\u52a0\u6e1b\u6cd5\u3067\u306f\u306a\u304f\u4ee3\u5165\u6cd5\u3067\u554f\u984c\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<p>\\(8\\color{red}{(12y-138)}-9y=-60\\)<\/p>\n<p>\\(96y-1104-9y=-60\\)<\/p>\n<p>\\(87y=1044\\)<\/p>\n<p>\\(y=12\\)<\/p>\n<p>\u305d\u306e\u5f8c\u3001\\(y=12\\)\u3092\u4ee3\u5165\u3057\u3066\u7b54\u3048\u3092\u51fa\u3059\u3068\u3001\\(x=6,y=12\\)\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<hr \/>\n<p><strong>Q2.<\/strong> \u6b21\u306e\u6587\u7ae0\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046<\/p>\n<p>\u5bb6\u3092\u51fa\u767a\u3057\u3066\u30012400m\u96e2\u308c\u305f\u56f3\u66f8\u9928\u306b\u5411\u304b\u3044\u307e\u3059\u3002\u6700\u521d\u306f\u5206\u901f100m\u3067\u8d70\u3063\u305f\u3082\u306e\u306e\u3001\u9014\u4e2d\u3067\u75b2\u308c\u3066\u3057\u307e\u3044\u3001\u5206\u901f40m\u3067\u6b69\u304d\u307e\u3057\u305f\u3002\u56f3\u66f8\u9928\u306b\u5230\u7740\u3059\u308b\u307e\u306730\u5206\u304b\u304b\u308a\u307e\u3057\u305f\u3002\u8d70\u3063\u305f\u6642\u9593\u3068\u6b69\u3044\u305f\u6642\u9593\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>A3.<\/strong>\u00a0\u89e3\u7b54<\/p>\n<p>\u8d70\u3063\u305f\u6642\u9593\u3092\\(x\\)\u5206\u3001\u6b69\u3044\u305f\u6642\u9593\u3092\\(y\\)\u5206\u306b\u3057\u307e\u3059\u3002\u8d70\u3063\u305f\u6642\u9593\u3068\u6b69\u3044\u305f\u6642\u9593\u306e\u5408\u8a08\u306f30\u5206\u306a\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x+y=30\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u3001\u8d70\u3063\u305f\u8ddd\u96e2\u306f\\(100\u00d7x\\)\u3067\u3059\u3002\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\u6b69\u3044\u305f\u8ddd\u96e2\u306f\\(40\u00d7y\\)\u3067\u3059\u3002\u5bb6\u304b\u3089\u56f3\u66f8\u9928\u307e\u30672400m\u306a\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(100x+40y=2400\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059<\/p>\n<p>\\(\\begin{eqnarray} \\left\\{\\begin{array}{l}x+y=30\\\\100x+40y=2400\\end{array}\\right.\\end{eqnarray}\\)<\/p>\n<p>\u52a0\u6e1b\u6cd5\u3067\u89e3\u304f\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(x+y=30\\)<\/p>\n<p>\\((x+y)\\color{red}{\u00d740}=30\\color{red}{\u00d740}\\)<\/p>\n<p>\\(40x+40y=1200\\)<\/p>\n<p>\\(\\begin{array}{r}40x+40y=1200\\\\\\underline{-)\\phantom{0}100x+40y=2400}\\\\-60x=-1200\\end{array}\\)<\/p>\n<p>\\(-60x=-1200\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\\(x=20\\)\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\\(x=20\\)\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\\(y=10\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u8d70\u3063\u305f\u6642\u9593\u306f20\u5206\u3001\u6b69\u3044\u305f\u6642\u9593\u306f10\u5206\u3067\u3059\u3002<\/p>\n<h2>\u52a0\u6e1b\u6cd5\u3068\u4ee3\u5165\u6cd5\u306b\u3088\u3063\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f<\/h2>\n<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u52a0\u6e1b\u6cd5\u3068\u4ee3\u5165\u6cd5\u306e2\u3064\u304c\u3042\u308a\u307e\u3059\u3002\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u3069\u3061\u3089\u3082\u4f7f\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u6700\u9069\u306a\u65b9\u6cd5\u3092\u9078\u629e\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u5206\u6570\u306e\u554f\u984c\u304c\u51fa\u3055\u308c\u308b\u3053\u3068\u304c\u983b\u7e41\u306b\u3042\u308a\u307e\u3059\u3002\u5206\u6570\u304c\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u89e3\u304d\u65b9\u306f\u540c\u3058\u3067\u3059\u3002\u4e21\u8fba\u306b\u5bfe\u3057\u3066\u3001\u639b\u3051\u7b97\u3092\u3057\u3066\u4fc2\u6570\u3092\u63c3\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\u6570\u5b66\u3067\u91cd\u8981\u306a\u306e\u306f\u3001\u6587\u7ae0\u984c\u3092\u89e3\u3051\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5f0f\u3092\u3042\u306a\u305f\u304c\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3067\u3001\u65e5\u5e38\u751f\u6d3b\u3067\u6570\u5b66\u3092\u5fdc\u7528\u3067\u304d\u307e\u3059\u30022\u3064\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u6587\u7ae0\u984c\u3092\u89e3\u304f\u3068\u304d\u306b\u91cd\u8981\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u5fc5\u305a\u898b\u76f4\u3057\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u3042\u306a\u305f\u304c\u51fa\u3057\u305f\u7b54\u3048\u3092\u4e21\u65b9\u306e\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u6b63\u3057\u3044\u7b54\u3048\u306b\u306a\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u78ba\u8a8d\u3059\u308b\u306e\u3067\u3059\u3002\u898b\u76f4\u3057\u307e\u3067\u3059\u308b\u3053\u3068\u304c\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u3067\u6b63\u89e3\u3092\u51fa\u3059\u30b3\u30c4\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66\u3067\u306f2\u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5f0f\u306e\u4e2d\u306b\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u5f0f\u304c2\u3064\u3042\u308b\u5834\u5408\u3001\u5206\u304b\u3089\u306a\u3044\u6570\u5b57\u304c2\u3064\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u7b54\u3048\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 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