八年级数学分式 1/x - 1/y =3 求..

来源:百度知道 编辑:UC知道 时间:2024/05/08 00:04:03
题在图片上 1/x - 1/y =3 求2x+3xy-2y/x-xy-y 德值..谢谢

把1/x - 1/y=3进行化简变为y-x/xy=3,所以,y-x=3xy,2x+3xy-2y/x-xy-y可变为2(x-y)+3xy/x-y-xy,x-y=-3xy,2.-3xy+3xy/-3xy-xy
所以,-3xy/-4xy=3/4

2x+3xy-2y/x-xy-y 上下同除xy
=(2/y+3-2/x)/(1/y-1-1/x)
=[-2(1/x-1/y)+3]/[-(1/x-1/y-1)]
=-3/(-2)
=3/2

3/4
1/x-1/y=3
所以y-x=3xy
原式=(2x+y-x-2y)/(-xy-3xy)
=(x-y)/(-4xy)
=3/4

答案是3/4,先把一式通分得到X-Y=-3XY ,再带入二式即可求得!

1.5