Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array}{l}x-8 y+z=5 \\3 x-y+2 z=5\end{array}$

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.
- $\begin{array}{l}x-8 y+z=5 \\3 x-y+2 z=5\end{array}$

A)
$\begin{array}{l}x-8 y+z=5 \\3 x-y+2 z=5\end{array}$

B) $\left\{ \left\{ \frac { 35 } { 23 } , - \frac { 10 } { 23 } , 9 \right) \right\}$

C) $\varnothing$

D) $\left\{ \left\{ \frac { - 35 - 15 \mathrm { z } } { 25 } , \frac { 10 + \mathrm { z } } { 25 } , \mathrm { z } \right) \right\}$