Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 4 x - y + 4 z = 58 \\9 x + 3 y + 5 z = 130 \\3 x - 8 y + z = - 16\end{array}$$

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.
- $$\begin{array} { l } 4 x - y + 4 z = 58 \\9 x + 3 y + 5 z = 130 \\3 x - 8 y + z = - 16\end{array}$$

A) $\{ ( - 8,6,16 ) \}$
B) $\varnothing$
C) $\{ ( 8,6,8 ) \}$
D) $\{ ( 8,8,6 ) \}$