If you have some centimetre squared paper then you could try plotting the straight line. The answer will be easy to spot then and you'll see a pattern

Bob

]]>Yes: try looking at that equation modulo 2 and modulo 3. From there you can deduce that *x* is a multiple of 2 and that *y* is a multiple of 3, which allows you to reduce that equation into something much simpler!

Of the equation \(3x + 2y = 18\), how many positive integer solutions are there?

Is there any elegant solution to this problem rather than just brute force?

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