Solve the System Using Gauss-Jordan Elimination $$\left\{ \begin{array} { l } w + x = 9 \\w + y = 0 \\x + z = 0\end{array} \right.$$

Multiple Choice

Solve the system using Gauss-Jordan elimination.​ $$\left\{ \begin{array} { l } w + x = 9 \\w + y = 0 \\x + z = 0\end{array} \right.$$

A) $$w = - 9 + z , x = - z , y = - 9 - z , z$$
B) $w = 9 + z , x = - z , y = - 9 - z , z$
C) $$w = 9 + z , x = - z , y = 9 - z , z$$ ​
D) $w = 9 + z , x = - z , y = 9 + z , z$ ​
E) $w = 9 - z , x = - z , y = - 9 - z , z$ ​