Answer
Inconsistent.
Work Step by Step
$ \begin{bmatrix}
1 & -1 & 3 & 3\\
4 & -8 & 32 & 24\\
2 & -3 & 11 & 4
\end{bmatrix} $
Add -4 times the 1st row to the 2nd row to produce a new 2nd row.
Add -2 times the 1st row to the 3rd row to produce a new 3rd row.
$ \begin{bmatrix}
1 & -1 & 3 & 3\\
0 & -4 & 20 & 12\\
0 & -1 & 5 & -2
\end{bmatrix} $
Interchange the 2nd and the 3rd row.
$ \begin{bmatrix}
1 & -1 & 3 & 3\\
0 & -1 & 5 & -2\\
0 & -4 & 20 & 12
\end{bmatrix} $
Divide the second row by -1.
$ \begin{bmatrix}
1 & -1 & 3 & 3\\
0 & 1 & -5 & 2\\
0 & -4 & 20 & 12
\end{bmatrix} $
Add 4 times the 2nd row to the 3rd row.
$ \begin{bmatrix}
1 & -1 & 3 & 3\\
0 & 1& -5 & 2\\
0 & 0 & 0& 20
\end{bmatrix} $
From the last row we got the equation $0=20$ which is false and therefore the system is inconsistent.