Answer
One common solution $\Rightarrow$ $(13,-8)$
Work Step by Step
We use the addition method below:
We add the two equations:
$12x+15y=36$
$7x-12y=187$
Multiply the first equation by $7$ and the second equation by $-12$ to cancel $x$:
$+84x+105y=252$
$\underline{-84x+144y=-2244}$
$249y=-992$
Solve for $y$:
$y=\frac{-992}{249}=-8$
Substitute into any of the two equations and solve for $x$:
$12x+15y=36$
$12x+15(-8)=36$
$12x-120=36$
$12x=36+120$
$12x=156$
$x=\frac{156}{12}$
$x=13$
