Answer
$(6,-1)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$3(x+2)-2(y+4)=6(3) $ and $2(x+y)=5(x-y)-25$
Now, $y=-1$
or, $2(x+y)=5(x-y)-25$
or, $2x+2y=5x-5y-25$
or, $2x+2y-5x+5y-25$
or, $-3x+7y=-25$
or, $-3x+7(-1)=-25$ or, $x=6$
Hence, the desired result is $(6,-1)$