If these equations have an infinity of solutions, how are $a$ and $b$ related?
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Ref: R6327

Question

Given that $a$ and $b$ are non-zero constants, and that the equations

\[\begin{align*} a^2x+aby&=a+4b\\ abx+b^2y&=a+b \end{align*}\]

have an infinite number of solutions for $x$ and $y$, express $a$ in terms of $b$.