Solve the System of Equations $$\begin{array} { c } 5 x + 4 y + z = 23 \\4 x - 4 y - z = 13 \\5 x + y + 2 z = 19\end{array}$$

Multiple Choice

Solve the system of equations.
- $$\begin{array} { c } 5 x + 4 y + z = 23 \\4 x - 4 y - z = 13 \\5 x + y + 2 z = 19\end{array}$$

A) $\{ ( 4 , - 1,1 ) \}$
B) $\{ ( 1,4 , - 1 ) \}$
C) $\{ ( - 1,1,4 ) \}$
D) $\{ ( 4,1 , - 1 ) \}$