Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } 4 x - y + 3 z = 12 \\x + 4 y + 6 z = - 32 \\5 x + 3 y + 9 z = 20\end{array}$$

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.
- $$\begin{array} { r } 4 x - y + 3 z = 12 \\x + 4 y + 6 z = - 32 \\5 x + 3 y + 9 z = 20\end{array}$$

A) $\varnothing$
B) $\{ ( 2 , - 7 , - 1 ) \}$
C) $\{ ( 8 , - 7 , - 2 ) \}$
D) $\{ ( - 8 , - 7,9 ) \}$