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数学
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已知1/x=1/y+3,则(5x+xy-5y)/(x-xy-y)的值为( )
人气:130 ℃ 时间:2019-10-11 21:11:52
解答
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]
=(-15xy+xy)/(-3xy-xy)
=-14xy/(-4xy)
=7/2
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