Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $$\begin{array} { l } 2 ( x - 2 z ) = 3 y + x + 30 \\x = 2 y - 2 z - 3 \\- 5 x + 2 y + 6 z = - 41\end{array}$$

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $$\begin{array} { l } 2 ( x - 2 z ) = 3 y + x + 30 \\x = 2 y - 2 z - 3 \\- 5 x + 2 y + 6 z = - 41\end{array}$$

A) $\{ ( 3 , - 1,5 ) \}$
B) $\{ ( 1 , - 3 , - 5 ) \}$
C) $\{ ( - 3,1 , - 5 ) \}$
D) $\{ ( - 1,3,5 ) \}$