Answer
\[
\left[
\begin{array}{cc|c}
3 & 5 & -13 \\
2 & 3 & -9
\end{array}
\right]
\]
Work Step by Step
We transform the given equations into $2 \times 3$ matrix such that the coefficients of the variables are on the left-hand side and the constants on the right-hand side of the vertical bar.
Therefore, we write the $2 \times 3$ matrix as follows:
\[
\left[
\begin{array}{cc|c}
3 & 5 & -13 \\
2 & 3 & -9
\end{array}
\right]
\]