Step 1 :Identify the reason the system is not in echelon form: The system is not in echelon form because it is not organized in a descending 'stair step' pattern so that the index of the leading variables increases from the top to bottom. \(\boxed{B}\)
Step 2 :Rewrite the system in echelon form and solve it: \(\begin{bmatrix} 7 & 7 & 4 \\ 0 & -1 & 1 \\ 0 & 0 & 2 \end{bmatrix}\begin{bmatrix} x_{1} \\ x_{2} \\ x_{3} \end{bmatrix} = \begin{bmatrix} 0 \\ -2 \\ 14 \end{bmatrix}\) which gives the solution \(\boxed{(x_{1}, x_{2}, x_{3}) = (-13, 9, 7)}\)