已知1/x+1/y=5,则2x−5xy+2yx+2xy+y=_.

问题描述:

已知

1
x
+
1
y
=5,则
2x−5xy+2y
x+2xy+y
=______.

1
x
+
1
y
=5,
∴x+y=5xy,
∴原式=
2×5xy−5xy
2xy+5xy
=
5
7

故答案是
5
7