Answer
$(-5,3)$ is a solution
Work Step by Step
Need to proof whether $(-5,3)$ is a solution of the given equations or not.
From the given two equations $-x+2y=11$ and $y=\dfrac{-x}{3}+\dfrac{4}{3}$, we have
$-x+2(\dfrac{-x}{3}+\dfrac{4}{3})=11$
$-3x-2x=33-8$
or, $-5x=25$
or, $s=-5$
Now, from $-(-5)+2y=11$, we have $y=3$
Thus, $(-5,3)$ is a solution of the given two equations.