Answer
\begin{align*}
x+y=3 \\ 2y+z=-4 \\ x-z=5
\end{align*}
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 represents the constant on the right-hand side of the equation
Therefore, the system of equations can be expressed as:
\begin{align*}
1x+(1)y+(0)z&= 3 \\ (0)x+(2)y+(1)z&=-4 \\(1)x+(0)y+(-1)z&=5
\end{align*}
which when simplified becomes
\begin{align*}
x+y&=3 \\ 2y+z&=-4 \\ x-z&=5
\end{align*}