Answer
(-2,7)
Work Step by Step
Add the 2 equations.
$\ \ -2x+5y=\ \ \ 39$
$\underline{\ \ \ \ \ \ \ 2x-3y=-25}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2y=\ \ \ \ 14$ divide both sides by 2
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=\ \ \ \ \ \ 7$
Substitute and solve for x.
$2x-3y=-25$
$2x-3(7)=-25$
$2x-21+21=-25+21$
$2x=-4$
$2x\div2=-4\div2$
$x=-2$