Answer
$\begin{bmatrix}
8 \\
11 \\
\end{bmatrix}$
Work Step by Step
We find:
$2x+u=3(x-v)\\2x+u=3x-3v\\-x+u=-3v\\-x=-3v-u\\x=3v+u$
Hence $x=3\cdot\begin{bmatrix}
3 \\
2 \\
\end{bmatrix}+\begin{bmatrix}
-1 \\
5 \\
\end{bmatrix}=\begin{bmatrix}
9 \\
6 \\
\end{bmatrix}+\begin{bmatrix}
-1 \\
5 \\
\end{bmatrix}=\begin{bmatrix}
8 \\
11 \\
\end{bmatrix}$
