Answer
One common solution $\Rightarrow$ $(-1,4)$
Work Step by Step
We will use the addition method to solve the equations.
We add the 2 equations:
$3x-2y=-11$
Multiply both sides by $-5$ to cancel $y$.
$7x-10y=-47$
We get:
$-15x+10y=55$
$\underline{+7x-10y=-47}$
$-8x=8$
Solving for $x$ and simplifying, we get:
$x=\frac{-8}{8}=-1$
Now, substitute into any of the 2 equations and solve for $y$:
$3x-2y=-11$
$3(-1)-2y=-11$
$-3-2y=-11$
$-2y=-11+3$
$-2y=-8$
$y=\frac{-8}{-2}$
$y=4$
