Answer
The system is inconsistent.
Work Step by Step
Gaussian Elimination:
$\begin{bmatrix}
1 & 2 & |0\\
1 & 1 & |6\\
3 & -2 & |8\\
\end{bmatrix}$ ~ $\begin{bmatrix}
1 & 2 & |0\\
0 & 1 & |-6\\
0 & -8 & |8\\
\end{bmatrix}$
Back-Substitution:
y = -6
-8y = 8
y = -1
Since y has two different solutions, there is no solution to the system.
The system is inconsistent.
