The pair of equations $ax + 2y = 9$ and $3x + by = 18$ represent parallel lines, where $a$, $b$ are integers, if:

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Step 1: For parallel lines: $\frac{a}{3} = \frac{2}{b} 
eq \frac{9}{18}$. From $\frac{a}{3} = \frac{2}{b}$: $ab = 6$. Check: $\frac{a}{3} = \frac{2}{b} 
eq \frac{1}{2}$ is satisfied for integer solutions like $a = 1, b = 6$.

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