Answer
One common solution $\Rightarrow$ $(-4,0)$
Work Step by Step
We use the addition method below:
We add the 2 equations:
$5x-7y=-20$
$3x-19y=-12$
Multiply the first equation by $3$ and the second equation by $-5$ to cancel $x$:
$+15x-21y=-60$
$\underline{-15x+95y=+60}$
$74y=0$
Solve for $y$:
$y=\frac{0}{74}=0$
Substitute into any of the 2 equations and solve for x:
$3x-19y=-12$
$3x-19(0)=-12$
$3x=-12$
$x=\frac{-12}{3}$
$x=-4$
