Solve Each System of Equations Using Matrices (Row Operations) $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

A) $x = 2 , y = 6 , z = 7$
B) $x = - 2 , y = 6 , z = 4$
C) $x = 2 , y = 7 , z = 6$
D) Inconsistent