3 Simultaneous Equations (Possibly Multiple or No Solutions)
x, y & z are all positives integers.
What are all the possible values for x, y & z?
Values of a, b & c are not important.
Hi, I studied both Calculus & Statistics in high school but that's it. In my statistics class I learnt about solving these sorts of equations (I believe it actually belongs in Algebra) but those equations were simpler because a, b & c were known. Also, I learnt something about graphing simpler ones to find optimal solutions for situations (Linear Programming).
Now I believe that with the use of advanced understanding in what would be a 3D version of the 2D "Linear Programming" idea, that those possible values for x, y & z can be easily found. Or found that there is indeed, no solution.
This is my first post, so please, if I have made a mistake in posting in the wrong section - let me know. Thanks a lot in advance!