Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { c } 4 x - 3 y + 6 z = - 5 \\8 x + 4 y - 8 z = - 5 \\20 x - 15 y + 30 z = - 1\end{array}$$

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.
- $$\begin{array} { c } 4 x - 3 y + 6 z = - 5 \\8 x + 4 y - 8 z = - 5 \\20 x - 15 y + 30 z = - 1\end{array}$$

A) $\{ ( - 5 z + 4,4 z - 15 , z ) \}$
B) $\{ ( 5,5 , - 1 ) \}$
C) $\varnothing$
D) $\{ ( - 5 , - 5 , - 1 ) \}$