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