SOLUTION: Use proof by contradiction to prove/disprove that no integers x and y exist such that 12y + 4x = 1

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Question 1189132: Use proof by contradiction to prove/disprove that no integers x and y exist such that
12y + 4x = 1
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
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Let's assume that x and y are integer numbers such that

    12y + 4x = 1.


Then the left side is the number divisible by 4, but the right side is not such a number.


This contradiction proves, that integer numbers x and y, satisfying the given equation DO NOT EXIST.

The proof is complete.