Answer
\begin{align*}
2x+y+3z&=12 \\ 4x-3y&=10 \\5x-4z&=-11\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, 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*}
2x+(1)y+3z&=12 \\ 4x-3y+(0)z&=10 \\5x+(0)y-4z&=-11
\end{align*}
which when simplified becomes
\begin{align*}
2x+y+3z&=12 \\ 4x-3y&=10 \\5x-4z&=-11
\end{align*}