解:∵
x,
y≠ 0,∴
xy≠ 0,
∴lg(
xy)=0,∴
xy=1,······································································ 3分
即为{
x,1,0}={0,|
x|,
y},若
y=1,则
x=1,不合题意,·························· 5分
∴
····················································································· 7分
解得:
(舍去),
,······················································· 8
分
∴
x=-1,
y=-1.············································································· 9分