Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{array} { c } 4 x + 9 y + z = - 17 \\6 x - 6 y - 8 z = 12 \\9 x + 8 y + z = - 43\end{array} \right.$$

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. $$\left\{ \begin{array} { c } 4 x + 9 y + z = - 17 \\6 x - 6 y - 8 z = 12 \\9 x + 8 y + z = - 43\end{array} \right.$$

A) x = 5, y = -1, z = -6
B) x = -5, y = -1, z = -6
C) x = -5, y = 1, z = -6
D) x = 1, y = 5, z = 6
E) no solution