Solve the System of Equations Below, If Possible $\left\{ \begin{array} { c } 4 x + 2 y + 5 z = - 3 \\x + y + z = 0 \\3 x + y + 4 z = 1\end{array} \right.$

Multiple Choice

Solve the system of equations below, if possible. $\left\{ \begin{array} { c } 4 x + 2 y + 5 z = - 3 \\x + y + z = 0 \\3 x + y + 4 z = 1\end{array} \right.$

A) $( - 6,1,6 )$
B) $( 6 , - 6,1 )$
C) $( 1,6 , - 6 )$
D) $( 1 , - 6,6 )$
E) The system is inconsistent.