已知:2x-y/x+y=1/5,求2x+5y/6x-2y的值
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已知:2x-y/x+y=1/5,求2x+5y/6x-2y的值
![已知:2x-y/x+y=1/5,求2x+5y/6x-2y的值](/uploads/image/z/17992816-16-6.jpg?t=%E5%B7%B2%E7%9F%A5%3A2x-y%2Fx%2By%3D1%2F5%2C%E6%B1%822x%2B5y%2F6x-2y%E7%9A%84%E5%80%BC)
2x-y/x+y=1/5
5(2x-y)=x+y
10x-5y=x+y
9x=6y
3x=2y
x=2y/3
代入
2x+5y/6x-2y
=(2×2y/3+5y)/(6×2y/3-2y)
=(19y/3)/2y
=19/3×1/2
=19/6
5(2x-y)=x+y
10x-5y=x+y
9x=6y
3x=2y
x=2y/3
代入
2x+5y/6x-2y
=(2×2y/3+5y)/(6×2y/3-2y)
=(19y/3)/2y
=19/3×1/2
=19/6
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