初二的数学题,急~~

来源:百度知道 编辑:UC知道 时间:2024/06/23 17:44:15
已知1/x -1/y =3,求(5x+xy-5y)/(x-xy-y)的值。要步骤哦~~~谢啦

1/x -1/y =3,所以x!=0, y!=0,所以xy!=0,
上下同除xy,得
(5x+xy-5y)/(x-xy-y)
=(1-5*(1/x -1/y))/(-1-(1/x -1/y))
=7/2

两边同时乘以xy, (1/x-1/y)xy=y-x=3xy

原式=(xy-15xy)/(-3xy-xy)

=(-14xy)/(-4xy)

=7/2

由1/x-1/y=3得x+3xy-y=0 且x、y≠0
则x+xy-y=-2xy x-y=-3xy 5x+xy-5y=5(x-y)+xy=-14xy
则原式=-14xy/-2xy=7
不知道对不对

1/x -1/y =3,所以x!=0, y!=0,所以xy!=0
楼上这个什么意思?