Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination A) $\{ ( 5,1 , - 3 , - 3 ) \}$

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $\begin{array} { l } x _ { 1 } - 5 x _ { 2 } + 2 x _ { 3 } = 6 \\5 x _ { 2 } - 2 x _ { 3 } = - 1 \\- 3 x _ { 2 } - 4 x _ { 3 } - 5 x _ { 4 } = - 30 \\5 x _ { 1 } + 4 x _ { 2 } + 4 x _ { 3 } + 5 x _ { 4 } = 56\end{array}$

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