Originally Posted by

**fruitbodywash** I did get to that point, but see, my problem is, I'm not sure that would acctually prove what I want, because in the begginig, you are assuming what you are trying to prove... theres no way you could find it any other way in the end, cuz in the begginig it was your starting assumtion....

And I've tried this way, but maybe I'm missing something... but, this is what I got by doing it that way... so far....

Since a = nx + r and c = ny + s, than filling it in the equation i want to prove, :

nx + r - ny - s = nk

but... I still don't know how to isolate the r and the s.... the other integers don't cancel out, I can simplify it a little bit, but I'm not sure how much help it would be to put it in this form:

r - s = n(y - x + k)

except for the fact that it resembles the first form, (no with integers but with format) I can't see where to go from here.... *sighs* unless i was able to prove that either n = 0 ( which i didn't think it could be, because it says let n be a positive integer) or I have to prove that y - x + k = 0.....