{ax+by=c,ex+dy=f方程组解为x=3,y=1.求方程组a(x+y)+b(x-y)=c,e(x+y)+d(x-y)=f的解

{ax+by=c,ex+dy=f方程组解为x=3,y=1.求方程组a(x+y)+b(x-y)=c,e(x+y)+d(x-y)=f的解
{ax+by=c,ex+dy=f方程组解为x=3,y=1.求方程组a(x+y)+b(x-y)=c,e(x+y)+d(x-y)=f的解

{ax+by=c,ex+dy=f方程组解为x=3,y=1.求方程组a(x+y)+b(x-y)=c,e(x+y)+d(x-y)=f的解
方程组ax+by=c,ex+dy=f解为x=3,y=1.
3a+b=c; 3e+d=f
那么;(x+y),(x-y)是方程组ax+by=c,ex+dy=f的解
所以：x+y=3,x-y=1得：x=2,y=1.方程组a(x+y)+b(x-y)=c,e(x+y)+d(x-y)=f的解为：
x=2,y=1