The values of $\lambda$ and $\mu$ for which the equations $x+y+z=3,x+3y+2z=6,x+\lambda y+3z=\mu$ have

Question

$\begin{array}{1 1}(A)\;\text{a unique solution if }\lambda=5\;\mu \in R&(B)\;\text{no solution if }\lambda\neq 5,\mu=9\\(C)\;\text{Infinite many solution if }\lambda=5,\mu\neq 9&(D)\;\text{None of the above}\end{array}$