Here is the problem:

If x and y are positive integers, and (xy + x) is even, which of the following must be true?

A. If x is odd, then y is odd.

B. If x is odd, then y is even.

C. If x is even, then y is odd.

D. If x is even, then y is even.

E. x cannot be odd.

The answer given is A, but isn't there more than 1 answer for this problem??