Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{aligned}x - 3 z & = - 7 \\3 x + y - 2 z & = 2 \\2 x + 2 y + z & = 4\end{aligned} \right.$$

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $$\left\{ \begin{aligned}x - 3 z & = - 7 \\3 x + y - 2 z & = 2 \\2 x + 2 y + z & = 4\end{aligned} \right.$$

A) (-5, -5, 4)
B) (5, -5, -4)
C) (-5, -5, -4)
D) (5, 5, 4)
E) (5, -5, 4)