Solve the System of Equations $$\left\{ \begin{array} { c } x + y + z = 7 \\x - y + 2 z = 7 \\5 x + y + z = 11\end{array} \right.$$

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { c } x + y + z = 7 \\x - y + 2 z = 7 \\5 x + y + z = 11\end{array} \right.$$

A) $x = 1 , y = 4 , z = 2$
B) $x = 4 , y = 2 , z = 1$
C) $x = 1 , y = 2 , z = 4$
D) $x = 4 , y = 1 , z = 2$