5. Let $Z, W, \lambda$ be complex numbers, $|\lambda| \neq 1$, and the equation $\bar{Z}-\lambda Z=W$ has the following four conclusions about $Z$:
I. $Z=\frac{\bar{\lambda} W+\bar{W}}{1-|N|^{2}}$ is a solution to this equation;
II. This equation has only one solution;
III. This equation has two solutions;
IV. This equation has infinitely many solutions. Then
(A) Only I and II are correct
(B) Only I and IV are correct
(C) Only I and III are correct
(D) None of (A), (B), (C) are correct