问题 填空题
已知
A
2x-y
+
B
3x+y
=
7x-y
(2x-y)(3x+y)
,那么A=______,B=______.
答案

A
2x-y
+
B
3x+y
=
A(3x+y)+B(2x-y)
(2x-y)(3x+y)
=
7x-y
(2x-y)(3x+y)

∴(3A+2B)x+(A-B)y=7x-y,即

3A+2B=7
A-B=-1

解得:A=1,B=2,

故答案为:1;2.

多项选择题
单项选择题