Solve the System of Equations $$\begin{aligned}x + y + z & = 8 \\x - y + 5 z & = 24 \\5 x + 5 y + 5 z & = 12\end{aligned}$$

Multiple Choice

Solve the system of equations.
- $$\begin{aligned}x + y + z & = 8 \\x - y + 5 z & = 24 \\5 x + 5 y + 5 z & = 12\end{aligned}$$

A) $\{ ( 1,2,5 ) \}$
B) $\{ ( 5,2,1 ) \}$
C) $\{ ( 5,1,2 ) \}$
D) $\varnothing$