#### Answer

(7,-6)

#### Work Step by Step

Add the 2 equations.
$\ \ 6x+7y=0$
$\underline{\ \ 2x-3y=32}$ multiply both sides by -3
$\ \ \ \ \ \ 6x+7y=\ \ \ \ 0$
$\underline{\ \ -6x+9y=-96}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ 16y\ =-96$ divide both sides by 16
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y\ \ =-6$
Substitute and solve for x.
$6x+7(-6)=0$
$6x-42+42=0+42$
$6x\div6=42\div6$
$x=7$