Item1.2.5.2.a

The reduced row echelon form is

\begin{equation*} \left[ \begin{array}{rrrr|r} 1 \amp 0 \amp 0 \amp 5 \amp 2 \\ 0 \amp 1 \amp 0 \amp -2 \amp 1 \\ 0 \amp 0 \amp 1 \amp 3 \amp 4 \\ \end{array} \right]\text{,} \end{equation*}

and there are infinitely many solutions.

in-context