Answer
One common solution $\Rightarrow$ $(1,-1)$
Work Step by Step
We use the addition method below:
We add the two equations:
$3x-2y=5$
$7x+3y=4$
Multiply the first equation by $7$ and the second equation by $-3$ to cancel $x$:
$+21x-14y=35$
$\underline{-21x-9y=-12}$
$-23y=23$
Solve for $y$:
$y=\frac{-23}{23}=-1$
Substitute into any of the two equations and solve for $x$:
$3x-2y=5$
$3x-2(-1)=5$
$3x+2=5$
$3x=5-2$
$3x=3$
$x=\frac{3}{3}$
$x=1$
