While you cannot solve 946x+642y=911 for numerical values of x and y, you can indeed solve 946x+642y=911 first for x and then for y:
-911 - 642y
For x: 946x+642y=911 becomes 946x = 911 - 642y, or x = ------------------
946
911-946x
For y: 946x+642y=911 becomes 642y = 911-946x, or y = ---------------
642
For this case we have the following expression:

We take common factor
, for this we must take into account that:

So, factoring the expression we have:

ANswer:
The factored expression is:

65. It is a pythagorean triple if you divide the numbers by 5