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. $$\left\{ \begin{aligned}x - 4 y + 3 z - 2 w & = 10 \\3 x - 2 y + z - 4 w & = - 22 \\- 4 x + 3 y - 2 z + w & = - 2 \\- 2 x + y - 4 z + 3 w & = - 10\end{aligned} \right.$$

A) (-2, -1, 8, 6)
B) (-2, 0, 8, 6)
C) (-2, 0, 8, -6)
D) (-2, -1, -8, -6)
E) (-2, 0, -8, 6)