Solve the System Using Gaussian Elimination $$\left\{ \begin{array} { l } x + y = - 2 \\x + z = - 4 \\y + z = - 4\end{array} \right.$$

Multiple Choice

Solve the system using Gaussian elimination. $$\left\{ \begin{array} { l } x + y = - 2 \\x + z = - 4 \\y + z = - 4\end{array} \right.$$

A) $( 1,1,3 )$
B) $( - 1 , - 1 , - 3 )$
C) $( 1,1 , - 3 )$
D) $( 1 , - 1 , - 3 )$
E) $( - 1,1 , - 3 )$