Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } x + y + z = 7 \\x - y + 2 z = 7 \\2 x + 3 z = 14\end{array}$$

Multiple Choice

Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } x + y + z = 7 \\x - y + 2 z = 7 \\2 x + 3 z = 14\end{array}$$

A) $\left\{ \left( - \frac { 3 z } { 2 } + 7 , \frac { z } { 2 } , z \right) \right\}$
B) $\left\{ \left( - \frac { 3 z } { 2 } - 7 , \frac { z } { 2 } , z \right) \right\}$
C) $\left\{ \left( - \frac { 3 z } { 2 } + 7,2 z , z \right) \right\}$
D) $\left\{ \left( - \frac { 3 z } { 2 } - 7,2 z , z \right) \right\}$