Answer
One common solution $\Rightarrow$ $(-2,4)$
Work Step by Step
We use the addition method below:
We add the 2 equations:
$2x+3y=8$
$x+y=2$
Multiply the second equation by $-2$ to cancel $x$:
$+2x+3y=+8$
$\underline{-2x-2y=-4}$
$y=4$
Substitute into any of the two equations and solve for $x$:
$x+y=2$
$x+4=2$
$x=2-4$
$x=-2$
