Solve the System of Linear Equations and Check Any Solution $\left\{ \begin{array} { l } 5 x + 3 y + 17 z = 0 \\6 x + 4 y + 22 z = 0 \\5 x + 2 y + 19 z = 0\end{array} \right.$

Multiple Choice

Solve the system of linear equations and check any solution algebraically. $\left\{ \begin{array} { l } 5 x + 3 y + 17 z = 0 \\6 x + 4 y + 22 z = 0 \\5 x + 2 y + 19 z = 0\end{array} \right.$

A) $( - 5,6 , - 5 )$
B) $( - 5,6,5 )$
C) $( 5,6 , - 5 )$
D) $( 5,6,5 )$
E) $( 0,0,0 )$