Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - 8 y + z = 6 \\3 x - y + 2 z = 7\end{array}$$

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.
- $$\begin{array} { l } x - 8 y + z = 6 \\3 x - y + 2 z = 7\end{array}$$

A) $\left\{ \left( \frac { 50 } { 23 } , - \frac { 11 } { 23 } , 1 \right) \right\}$
B) $\varnothing$
C) $\left\{ \left( \frac { - 50 - 15 z } { 25 } , \frac { 11 + z } { 25 } , z \right) \right\}$
D) $\left\{ \left( \frac { 50 - 15 z } { 23 } , \frac { - 11 + z } { 23 } , z \right) \right\}$