Integer Combinations for Even Result

Let $N$ be an integer defined as follows: $N = 7x + 5y$ where $x$ and $y$ are integers. If $N$ is to be an even integer, what must be true about $x$ and $y$?

Consider the nature of the coefficients of $x$ and $y$. The term $7x$ is always odd for odd $x$ and even for even $x$. The term $5y$ behaves similarly, where it is odd for odd $y$ and even for even $y$.

Evaluate the combinations of $x$ and $y$ that yield an even result for $N$.