Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{aligned}4 x - 9 y - 9 z & = - 74 \\6 x + 8 y - 2 z & = - 22 \\6 x - y + 9 z & = 4\end{aligned} \right.$$

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $$\left\{ \begin{aligned}4 x - 9 y - 9 z & = - 74 \\6 x + 8 y - 2 z & = - 22 \\6 x - y + 9 z & = 4\end{aligned} \right.$$

A) x = 5, y = -2, z = 4
B) x = 2, y = 5, z = -4
C) x = -5, y = -2, z = 4
D) no solution
E) x = -5, y = 2, z = 4