已知1⼀x-1⼀y=5,求分式3x+5xy-3y⼀x-3xy-y的值

2025-06-27 21:37:15
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回答1:

1/x-1/y=5
(y-x)/xy=5
(x-y)/xy=-5
(3x+5xy-3y)/(x-3xy-y)
=[3(x-y)+5xy]/[(x-y)-3xy]
=[3(x-y)/xy+5]/[(x-y)/xy-3]
=[3×(-5)+5]/(-5-3)
=(-10)/(-8)
=5/4