Answer
$x=2 \\ y=3 \\ z=-2$
Work Step by Step
Each line represents an equation.
The first three columns from the left represent the coefficients of $x, y, \text{ and } z$, respectively.
The fourth column, which is to the right of the vertical line, represents the constant on the right-hand side of the equation
Therefore, the system of equations can be expressed as:
\begin{align*}
1x+(0)y+(0)z&=2 \\ (0)x+(1)y+(0)z&=3 \\(0)x+(0)y+(1)z&=-2
\end{align*}
which when simplified becomes
\begin{align*}
x=2 \\ y=3 \\ z=-2
\end{align*}