已知1/x=3+1/y,则2x−5xy−2yy+3xy−x=_.

问题描述:

已知

1
x
=3+
1
y
,则
2x−5xy−2y
y+3xy−x
=______.

1
x
=3+
1
y
,得x-y=-3xy,
2x−5xy−2y
y+3xy−x
=
2(x−y)−5xy
3xy−(x−y)
=
−6xy−5xy
3xy−(−3xy)
=
−11xy
6xy
=-
11
6

故答案为:-
11
6