{6(x-y)-7(x+y)=21 {2(x-y)-5(x+y)=-1

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{6(x-y)-7(x+y)=21 {2(x-y)-5(x+y)=-1

{6(x-y)-7(x+y)=21 {2(x-y)-5(x+y)=-1
{6(x-y)-7(x+y)=21 {2(x-y)-5(x+y)=-1

{6(x-y)-7(x+y)=21 {2(x-y)-5(x+y)=-1
令X-y=a X+y=b
原方程组变为:6a-7b=21,2a-5b=-1 解得:a=7,b=3再X-y=7 x+y=3 得x=5,y=-2

6(x-y)-7(x+y)=21
即x+13y=-21①
2(x-y)-5(x+y)=-1
即3x+7y=1②
①②联立方程组
解得x=5,y=-2