Answer
$x = -6$
$y = -6$
Work Step by Step
Equations:
$2x-3y=6$
$x+y=-12$
Since $x$ and $y$ already have a coefficient of one in the second equation, we can pick either variable to substitute with. $x$ in the first equation has a smaller coefficient, so it's easier to use $x$.
Getting $x$ alone:
$x+y=-12$
$x=-12-y$
Substituting $x$ into the first equation:
$2x-3y=6$
$2(-12-y)-3y=6$
$-24 -2y-3y=6$
$-2y-3y=30$
$-5y=30$
$y=-6$
Substituting $y$ into the second equation to find $x$
$x+y=-12$
$x+(-6)=-12$
$x-6=-12$
$x=-6$
