Answer
x = -1
y = 3
Work Step by Step
$\begin{bmatrix}
2 & 6 & |16\\
2 & 3 & |7\\
\end{bmatrix}$ ~ $\begin{bmatrix}
2 & 6 & |16\\
0 & 3 & |9\\
\end{bmatrix}$
Back-Substitution:
3y = 9
y = 3
2x + 6(3) = 16
x = -1
x = -1
y = 3