解方程组2/(x+y)-1/(x-y)=3 3/(x+y)+4/(x-y)=10,设1/(x+y)=m,1/(x-y)=n,将原方程化为2m-n=3,3m+4n=10,解得m=2,n=1.∴原方程组的解为x=3/4,y=-(1/4).请用这种方法解(x+y)/2+(x-y)/3=7 (x+y)/3-(x-y)/4=-1
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![解方程组2/(x+y)-1/(x-y)=3 3/(x+y)+4/(x-y)=10,设1/(x+y)=m,1/(x-y)=n,将原方程化为2m-n=3,3m+4n=10,解得m=2,n=1.∴原方程组的解为x=3/4,y=-(1/4).请用这种方法解(x+y)/2+(x-y)/3=7 (x+y)/3-(x-y)/4=-1](/uploads/image/z/2492113-49-3.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%E7%BB%842%2F%28x%2By%29-1%2F%28x-y%29%3D3+3%2F%28x%2By%29%2B4%2F%28x-y%29%3D10%2C%E8%AE%BE1%2F%28x%2By%29%3Dm%2C1%2F%EF%BC%88x-y%29%3Dn%2C%E5%B0%86%E5%8E%9F%E6%96%B9%E7%A8%8B%E5%8C%96%E4%B8%BA2m-n%3D3%2C3m%2B4n%3D10%2C%E8%A7%A3%E5%BE%97m%3D2%2Cn%3D1.%E2%88%B4%E5%8E%9F%E6%96%B9%E7%A8%8B%E7%BB%84%E7%9A%84%E8%A7%A3%E4%B8%BAx%3D3%2F4%2Cy%3D-%281%2F4%29.%E8%AF%B7%E7%94%A8%E8%BF%99%E7%A7%8D%E6%96%B9%E6%B3%95%E8%A7%A3%EF%BC%88x%2By%29%2F2%2B%28x-y%29%2F3%3D7+%28x%2By%29%2F3-%28x-y%29%2F4%3D-1)
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