解方程组24/(x+y) +24/(x-y) = 7/3 ,8/(x+y) +18/(x-y) = 4/3

学习 时间:2026-10-20 19:50:17 阅读:196
解方程组24/(x+y) +24/(x-y) = 7/3 ,8/(x+y) +18/(x-y) = 4/3

最佳回答

粗暴的金鱼

怕黑的发夹

2026-10-20 19:50:17

因为8/(x+y) +18/(x-y) = 4/3,两边乘以3得
24/(x+y) +54/(x-y) = 4
两边同时减去
24/(x+y) +24/(x-y) = 7/3
得
30/(x-y) = 5/3
所以x-y=18
代入
8/(x+y) +18/(x-y) = 4/3
得x+y = 24
所以x=21, y=3
谢谢采纳 ^_^

最新回答共有2条回答

  • 乐观的季节
    回复
    2026-10-20 19:50:17

    因为8/(x+y) +18/(x-y) = 4/3,两边乘以3得 24/(x+y) +54/(x-y) = 4两边同时减去24/(x+y) +24/(x-y) = 7/3得30/(x-y) = 5/3所以x-y=18代入8/(x+y) +18/(x-y) = 4/3 得x+y = 24所以x=21, y=3谢谢采纳 ^_^

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