Answer
x = 9
y = 13
Work Step by Step
$\begin{bmatrix}
-1 & 1 & |4\\
2 & -4 & |-34\\
\end{bmatrix}$ ~ $\begin{bmatrix}
-1 & 1 & |4\\
1 & -2 & |-17\\
\end{bmatrix}$ ~ $\begin{bmatrix}
-1 & 1 & |4\\
0 & -1 & |-13\\
\end{bmatrix}$
Back-Substitution:
-y = -13
y = 13
-x + 13 = 4
x = 9
x = 9
y = 13