Answer
The solution is $x = -1, y = -1$ or $(-1, -1)$.
Work Step by Step
We want the $x$ terms of both equations to be the same but differing in sign. Let us first multiply the second equation by $-1$:
$-x + 2y = -1$
Set up the two equations:
$x - 3y = 2$
$-x + 2y = -1$
Add the two equations:
$-y = 1$
Divide both sides of the equation by $-1$:
$y = -1$
Substitute this value for $y$ into the first equation:
$x - 3(-1) = 2$
Multiply to simplify:
$x + 3 = 2$
Subtract $3$ from each side of the equation:
$x = -1$
