Answer
One common solution $\Rightarrow$ $(8,-7)$
Work Step by Step
We use the addition method below.
We add the 2 equations:
$3x+2y=10$
$x+5y=-27$
Multiply the second equation $-3$ to cancel $x$:
$+3x+2y=10$
$\underline{-3x-15y=81}$
$-13y=91$
Solve for for $y$ and simplify:
$y=\frac{91}{-13}=-7$
Substitute into any of the 2 equations and solve for $x$:
$3x-2y=10$
$3x+2(-7)=10$
$3x-14=10$
$3x=10+14$
$3x=24$
$x=\frac{24}{3}$
$x=8$
