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Old 03-15-2021, 03:48 PM   #8 (permalink)
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But actually in your case n+13/3n-1 can be a negative integer up to -4, so it doesn't have to be a natural number

What I had got after some algebra was: x = (7n+3)/(3-n)
which needs to be a natural number, like you said. Then, since the numerator is always positive the denominator needs to be positive too, so n < 3. Then both n=1 and n=2 work
we got different results though, but that may be me because I'm sloppy with algebra
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