Find the Solution or Solutions, If Any Exist, to the System

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { c } x + y + z = 11 \\x - y + 5 z = 23 \\5 x + y + z = 31\end{array} \right.$$

A) $x = 4 , y = 5 , z = 2$
B) $x = 5 , y = 2 , z = 4$
C) inconsistent system, no solution
D) $x = 4 , y = 2 , z = 5$