The system of equations
$$
\begin{aligned}
&\lambda x+y+3 z=0 \\
&2 x+\mu y-z=0 \\
&5 x+7 y+z=0
\end{aligned}
$$
has infinitely many solutions in \(\mathbb{R}\). Then,
(A) \(\lambda=2, \mu=3\)
(B) \(\lambda=1, \mu=2\)
(C) \(\lambda=1, \mu=3\)
(D) \(\lambda=3, \mu=1\)