若丨x-y+1丨与丨x+y-2013丨互为相反数,求(x+2y)/(x-y)的值
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若丨x-y+1丨与丨x+y-2013丨互为相反数,求(x+2y)/(x-y)的值
![若丨x-y+1丨与丨x+y-2013丨互为相反数,求(x+2y)/(x-y)的值](/uploads/image/z/19946112-24-2.jpg?t=%E8%8B%A5%E4%B8%A8x-y%2B1%E4%B8%A8%E4%B8%8E%E4%B8%A8x%2By-2013%E4%B8%A8%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82%EF%BC%88x%2B2y%EF%BC%89%2F%EF%BC%88x-y%EF%BC%89%E7%9A%84%E5%80%BC)
∵丨x-y+1丨与丨x+y-2013丨互为相反数
∴|x-y+1|+|x+y-2013|=0
∴x-y+1=0,x+y-2013=0
∴x=1006,y=1007
∴(x+2y)/(x-y)
=(1006+2014)/(1006-1007)
=-3020
∴|x-y+1|+|x+y-2013|=0
∴x-y+1=0,x+y-2013=0
∴x=1006,y=1007
∴(x+2y)/(x-y)
=(1006+2014)/(1006-1007)
=-3020
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