###### Item d.c

Suppose that this augmented matrix is row equivalent to

\begin{equation*}
\left[
\begin{array}{rrrrr|r}
1 \amp 2 \amp 0 \amp 0 \amp 3 \amp 2 \\
0 \amp 0 \amp 1 \amp 2 \amp -1 \amp -1 \\
0 \amp 0 \amp 0 \amp 0 \amp 0 \amp 0 \\
\end{array}
\right].
\end{equation*}

Make a choice for the names of the unknowns and write the corresponding system of linear equations. Does the system have exactly one solution, infinitely many solutions, or no solutions?