Answer
$x = 2$
$y = 1$
Work Step by Step
Equations:
$2x+3y=7$
$-2x+5y=1$
Eliminating $x$
$2x+3y=7$
$+$
$-2x+5y=1$
$8y = 8$
$y = 1$
Substituting $y$ into the first equation to find $x$
$2x+3y=7$
$2x + 3(1) = 7$
$2x + 3 = 7$
$2x = 4$
$x = 2$