若|x-y+3|与|x+y-1999|互为相反数,求x+2y/x-y的值(要有过程)

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若|x-y+3|与|x+y-1999|互为相反数,求x+2y/x-y的值(要有过程)
若|x-y+3|与|x+y-1999|互为相反数,求x+2y/x-y的值(要有过程)

若|x-y+3|与|x+y-1999|互为相反数,求x+2y/x-y的值(要有过程)
|x-y+3|与|x+y-1999|互为相反数
而|x-y+3|≥0,|x+y-1999|≥0
所以|x-y+3|=0,|x+y-1999|=0
x-y+3=0
x+y-1999=0
2x-1996=0
x=998
y=1001