Row Reduction & Rank · Hard problem

For which value of $k$ is the system $A\mathbf x = \mathbf b$ with $A = \begin{pmatrix}-3 & 4\\-1 & 2\\3 & 3\end{pmatrix}$ and $\mathbf b = \begin{pmatrix}1\\-1\\k\end{pmatrix}$ consistent?