Use Matrices to Solve the System of Equations (If Possible)

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
$$\left\{ \begin{array} { r l r } 3 x + 2 y - z + w & = 0 \\x - y + 4 z - w & = 28 \\- 2 x + y + 2 z - w & = 3 \\x + y + z + w & = 8\end{array} \right.$$

A) (-3, -2, 6, 1)
B) (-3, 2, -6, -1)
C) (3, -2, 6, 1)
D) (3, -2, 6, -1)
E) (3, -2, -6, 1)