Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{aligned}7 x - 9 y - z & = - 24 \\x - 3 y - 5 z & = - 54 \\- 2 x + y + z & = 7\end{aligned}$$

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.
- $$\begin{aligned}7 x - 9 y - z & = - 24 \\x - 3 y - 5 z & = - 54 \\- 2 x + y + z & = 7\end{aligned}$$

A) $\{ ( 3,9,4 ) \}$
B) $\{ ( 3,4,9 ) \}$
C) $\varnothing$
D) $\{ ( - 3,4,6 ) \}$