已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少

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已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少已知1/x-1/y=3,则{2x-14x

已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少
已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少

已知1/x-1/y=3,则{2x-14xy-2y}/{x-2xy-y}的值为多少
已知1/x-1/y=3
则(y-x)/xy=3
即x-y=-3xy
代入
{2x-14xy-2y}/{x-2xy-y}
=2[(x-y)-7xy]/[(x-y)-2xy]
=2[-3xy-7xy]/[-3xy-2xy]
=-2×10xy/[-5xy]
=4

同除以xy,有:
(2/y-14-2/x)/(1/y-2-1/x)=(-6-14)/(-2-3)=20/5=4

y-x=3xy
2x-2y=-6xy
2x-2y-14xy=-20xy
x-y=-3xy
x-y-2xy=-5xy
-20xy/-5xy=4