已知x+y除以xy等于4,求2x-5xy+2y除以x+2xy+y的值请写出过程

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已知x+y除以xy等于4,求2x-5xy+2y除以x+2xy+y的值请写出过程

已知x+y除以xy等于4,求2x-5xy+2y除以x+2xy+y的值请写出过程
已知x+y除以xy等于4,求2x-5xy+2y除以x+2xy+y的值
请写出过程

已知x+y除以xy等于4,求2x-5xy+2y除以x+2xy+y的值请写出过程
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

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

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