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QUESTION

Let a, b and c be non-zero integers.

  1. I need help on this:
  2. Let a, b and c be non-zero integers.
  3. Prove that if ax + by = c has an integer solution, then it has infinitely many integer solutions (x,y) where x is even or it has infinitely many integer solutions (x, y) 
  4. where y is even. 
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