解:∵
x,
y≠ 0,∴
xy≠ 0,
∴lg(
xy)=0,∴
xy=1,······································································ 3分
即為{
x,1,0}={0,|
x|,
y},若
y=1,則
x=1,不合題意,·························· 5分
∴

····················································································· 7分
解得:

(舍去),

,······················································· 8

分
∴
x=-1,
y=-1.············································································· 9分