For the system of linear equations :
$$
x-2 y=I, x-y+k z=-2, k y+4 z=6, k \in R,
$$
consider the following statements:
(A) The system has unique solution if $k \neq 2, k \neq-2$.
(B) The system has unique solution if $\mathrm{k}=-2$.
(C) The system has unique solution if $\mathrm{k}=2$.
(D) The system has no-solution if $\mathrm{k}=2$.
(E) The system has infinite number of solutions if $k \neq-2$.
Which of the following statements are correct?