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)