Solve the System of Equations by Using an Inverse Matrix $$\begin{aligned}8 x - 9 y - z & = - 12 \\x + 2 y + 7 z & = 64 \\- 7 x + y + z & = - 23\end{aligned}$$

Multiple Choice

Solve the system of equations by using an inverse matrix.
- $$\begin{aligned}8 x - 9 y - z & = - 12 \\x + 2 y + 7 z & = 64 \\- 7 x + y + z & = - 23\end{aligned}$$

A) $( - 5,5,10 )$
B) $( 5,7,5 )$
C) $( 5,5,7 )$
D) $\varnothing$