若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
问题描述:
若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
答
|x-y+3|+|x+y-2013|=0
x-y=-3
x+y=2013
2x=2013-3=2010
x=1005
y=x+3=1005+3=1008
x+2y/x-y
=(1005+2x1008)/-3
=3021/-3
=-1007