Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array}{l}7 x-2 y+6 z=4 \\-8 x+6 y+4 z=8 \\35 x-10 y+30 z=-2\end{array}$$

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.
- $$\begin{array}{l}7 x-2 y+6 z=4 \\-8 x+6 y+4 z=8 \\35 x-10 y+30 z=-2\end{array}$$

A) $\{(4,8,-2) \}$
B) $\{(-5 z+6,7 z-10, z) \}$
C) $\varnothing$
D) $\{(5,5,-1) \}$