已知x分之1-y分之1=3,求(x-xy-y)分之(5x+xy-5y)的值

问题描述:

已知x分之1-y分之1=3,求(x-xy-y)分之(5x+xy-5y)的值
要有过程

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