Answer
x = -3
y = 5
Work Step by Step
$\begin{bmatrix}
1 & 2 & |7\\
-1 & 1 & |8\\
\end{bmatrix}$ ~ $\begin{bmatrix}
1 & 2 & |7\\
0 & 3 & |15\\
\end{bmatrix}$
Back-Substitution:
3y = 15
y = 5
x + 2(5) = 7
x + 10 = 7
x = -3
x = -3
y = 5