###### Itemd.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?

in-context