I am sorry, I am new to Meta, so I don't exactly know the proper formatting rules here.
I am having a doubt regarding answering a question which I have referenced above. The topic of the question is "Solution of this Diophantine equation". I assume the title to be a broad overview of what's going to be in the question and most of the time I don't try to think of it as the exact question itself. Likewise in this question, the OP shows his attempt. I see the attempt and I am able to figure out the error in it. The OP then quotes the following in his question.
"Clearly, x and y are not prime numbers. Why is my solution not working? I have been able to solve similar type of equations by factorizing and then listing down the integer factors and the different cases. Why is it not working here?"
I assumed these two to be the query of the OP more or less and I answered it down. But I received criticism for it in the comment and to which I replied the reason of why it is not justified in my point of view. However, later on, the criticism comment also gathered an upvote. So, I am really confused about whether my approach is really wrong?
Edit: By solving the problem I mean: providing a solution to the problem without the user's requirement or demand mentioned in the question for it. I'd assume the premise of the problem to be what the OP asked for.