Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } x - z = - 5 \\y + z = 1 \\x + z = 2\end{array}$

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.
$\begin{array} { l } x - z = - 5 \\y + z = 1 \\x + z = 2\end{array}$

A) $\{ ( - 3 , - 5,7 ) \}$
B) $\left\{ \left( \frac { 7 } { 2 } , - \frac { 15 } { 2 } , \frac { 17 } { 2 } \right) \right\}$
C) $\{ ( - 5,1,0 ) \}$
D) $\left\{ \left( - \frac { 3 } { 2 } , - \frac { 5 } { 2 } , \frac { 7 } { 2 } \right) \right\}$