已知x+y除以xy等于4，求2x-5xy+2y除以x+2xy+y的值

来源：百度知道 编辑：UC知道 时间：2024/05/15 10:38:54
请写出过程

解：因为x+y除以xy等于4，所以，x+y=4xy

2x-5xy+2y=2(x+y)-5xy=2*4xy-5xy=3xy

x+2xy+y=4xy+2xy=6xy

所以，2x-5xy+2y除以x+2xy+y的值＝3xy/6xy=1/2

2x-5xy+2y=2*4xy-5xy=3xy

x+2xy+y=4xy+2xy=6xy

所以
2x-5xy+2y除以x+2xy+y=3xy除以6xy=0.5

x+y=4xy
(2x+2y-5xy)/(x+y+2xy)
=(8xy-5xy)/(4xy+2xy)
=3xy/6xy
=1/2

解:
(x+y)/xy=4
x+y=4xy
(2x+2y-5xy)/(x+y+2xy)
=3xy/6xy
0.5

x+y/xy=4则
x+y=4xy
所以2xy=1/2(x+y) (1)
-5xy=-5/4(x+y) (2)
将 (1)(2)代入(2x-5xy+2y)/(x+2xy+y)
=(3/4(x+y))/(3/2(x+y))
=1/2