Answer
One common solution $\Rightarrow$ $(-3,0)$
Work Step by Step
We use the addition method below:
We add the 2 equations:
$3x-7y=-9$
$2x+14y=-6$
Multiply both sides of the first equation by 2 to cancel $y$.
$6x-14y=-18$
$\underline{2x+14y=-6}$
$8x=-24$
Solve for $x$:
$x=\frac{-24}{8}=-3$
Substitute into any of the two equations and solve for $y$:
$3(-3)-7y=-9$
$-9-7y=-9$
$7y=-9+9$
$7y=0$
$y=\frac{0}{7}$
$y=0$
