Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { c } - 3 x - y - 8 z = - 64 \\4 x + 9 z = 74 \\8 y + z = 14\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- $$\begin{array} { c } - 3 x - y - 8 z = - 64 \\4 x + 9 z = 74 \\8 y + z = 14\end{array}$$

A) $\{ ( 5,6,1 ) \}$
B) $\{ ( - 5,1,10 ) \}$
C) $\{ ( 5,1,6 ) \}$
D) $\varnothing$