已知 1/x-1/y=5.求(2x+4xy-2y)/(x-3xy-y)
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已知 1/x-1/y=5.求(2x+4xy-2y)/(x-3xy-y)
![已知 1/x-1/y=5.求(2x+4xy-2y)/(x-3xy-y)](/uploads/image/z/19732770-18-0.jpg?t=%E5%B7%B2%E7%9F%A5+1%2Fx-1%2Fy%3D5.%E6%B1%82%282x%2B4xy-2y%29%2F%28x-3xy-y%29)
1/x-1/y=5
(y-x)/xy=5
y-x=5xy
(2x+4xy-2y)/(x-3xy-y)
=[4xy-2(y-x)]/[-3xy-(y-x)]
=(4xy-10xy)/(-3xy-5xy)
=(-6)/(-8)
=3/4
(y-x)/xy=5
y-x=5xy
(2x+4xy-2y)/(x-3xy-y)
=[4xy-2(y-x)]/[-3xy-(y-x)]
=(4xy-10xy)/(-3xy-5xy)
=(-6)/(-8)
=3/4
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