Answer
Yes, $(-1,1)$ is a solution.
Work Step by Step
Given Equations,
$-x+y=2$
$2x-y=-3$
Substituting $x$ with $-1$ and $y$ with $1$, in each equation,
$-x+y=2$
$-(-1)+1=2$
$1+1=2$
$2= 2$ True
$2x-y=-3$
$2(-1)-1=-3$
$-2-1=-3$
$-3=-3$ True
$(-1,1)$ satisfies both equations. So, it is the solution of the given equations.
