Review question

# If these equations have an infinity of solutions, how are $a$ and $b$ related? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

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 $b$.