Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - z = - 2 \\y + z = 10 \\x + z = 3\end{array}$$

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.
- $$\begin{array} { l } x - z = - 2 \\y + z = 10 \\x + z = 3\end{array}$$

A) $\left\{ \left\{ \frac { 5 } { 2 } , \frac { 11 } { 2 } , \frac { 9 } { 2 } \right) \right\}$

B) $\left\{ \left( \frac { 1 } { 2 } , \frac { 15 } { 2 } , \frac { 5 } { 2 } \right) \right\}$

C) $\{ ( - 2,10,0 ) \}$

D) $\{ ( 1,15,5 ) \}$