Solve the Homogeneous System $$\left( \begin{array} { l } 5 x+y+z=0 \\6 x+2 y+8 z=0 \\10 x-10 y+z=0\end{array} \right)$$

Solve the homogeneous system. $$\left( \begin{array} { l } 5 x+y+z=0 \\6 x+2 y+8 z=0 \\10 x-10 y+z=0\end{array} \right)$$

A) (0, 0, 0)
B) inconsistent
C) dependent