已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?

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已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?1/x-

已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?
已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?

已知1/x-1/y=3,则5x+xy-5y/x-xy-y的值是?
1/x-1/y=3
(y-x)/xy=3
y-x=3xy
x-y=-3xy
5x+xy-5y/x-xy-y
=-15xy+xy/-3xy-xy
=-14xy/-4xy
=7/2

∵1/x-1/y=3
∴y-x=3xy
(5x+xy-5y)/(x-xy-y)=[5(x-y)+xy]/[(x-y)-xy]=(-15xy+xy)/(-3xy-xy)=-14xy/-4xy=7/2

由1/x-1/y=3得xy=(y-x)/3 带入得7/2