###### Item b

Suppose that you have a system of linear equations in the unknowns \(x\) and \(y\) whose augmented matrix is row equivalent to

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

Write the system of linear equations corresponding to the augmented matrix. Then describe the solution set of the system of equations in as much detail as you can.