Solve the System $$\left\{ \begin{array} { r r } x - y + 3 z & = - 1 \\4 x + z & = 0 \\x + 5 y + z & = 5\end{array} \right.$$

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- $$\left\{ \begin{array} { r r } x - y + 3 z & = - 1 \\4 x + z & = 0 \\x + 5 y + z & = 5\end{array} \right.$$

A) infinitely many solutions; dependent equations
B) no solution or $\emptyset \varnothing$
C) $\{ ( 0,1,0 ) \}$
D) $\{ ( 0,0,1 ) \}$