若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.

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若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.

若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.

若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
|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

|x-y+3|与|x+y-2013|互为相反数
∴|x-y+3|+|x+y-2013|=0
∴﹛x-y+3=0
x+y-2013=0
∴x=1005, y=1008
∴x+2y/x-y
=(1005+2016)/(1005-1008)
=-1007

∵|x-y+3|与|x+y-2013|互为相反数
∴|x-y+3|+|x+y-2013|=0
x-y+3=0
x+y-2013=0
∴x=1005
y=1008

∴(x+2y)/(x-y)=(x-y+3y)/(x-y)=1+3y/(x-y)=1+3*1008/(1005-1008)=1-1008=-1007

|x-y+3|与|x+y-2013|互为相反数
则：|x-y+3|=0且|x+y-2013|=0
联立方程组
x-y+3=0
x+y-2013=0
解得x=1005,y=1008
x+2y/x-y
=(1005+2016)/(1005-1008)
=-1007

x=1005，y=1008. 最终答案为 -1007 保对！

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