Use Matrices to Solve the System $$\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.$$

Multiple Choice

Use matrices to solve the system. $$\left\{ \begin{aligned}4 x + 3 y - z & = - 4 \\x - 4 y + 5 z & = 1 \\4 y + 5 z & = 36\end{aligned} \right.$$

A) $x = - 3 , y = 4 , z = 4$
B) $x = - 3 , y = - 7 , z = 6$
C) $x = 5 , y = - 4 , z = - 4$
D) The system is inconsistent
E) The equations are dependent