Answer
One common solution $\Rightarrow$ $(-2,5)$
Work Step by Step
We use the addition method below:
We add the 2 equations:
$8x-7y=-51$
$12x+13y=41$
We multiply the first equation by $3$ and the second by $-2$ to cancel $x$:
$+24x-21y=-153$
$\underline{-24x-26y=-82}$
$-47y=-235$
Solve for $y$:
$y=\frac{-235}{-47}=5$
Substitute into any of the 2 equations and solve for $x$:
$8x-7y=-51$
$8x-7(5)=-51$
$8x-35=-51$
$8x=-51+35$
$8x=-16$
$x=\frac{-16}{8}$
$x=-2$
