若X,Y互为相反数,且(X+Y+3)(X-Y-2)=0,求X,Y的值?

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若X,Y互为相反数,且(X+Y+3)(X-Y-2)=0,求X,Y的值?
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若X,Y互为相反数,且(X+Y+3)(X-Y-2)=0,求X,Y的值?
若X,Y互为相反数,且(X+Y+3)(X-Y-2)=0,求X,Y的值?

若X,Y互为相反数,且(X+Y+3)(X-Y-2)=0,求X,Y的值?

(x+y+3)(x-y-2)=0
x,y互为相反数
则x+y=0...(1)带入上式
3(x-y-2)=0
x-y=2...(2)
联立(1)(2)得x=1,y=-1

X=1.Y=-1

x=1;y=-1

X=1.Y=-1