Finding parameters in a reciprocal-plus-constant model

The variables \(x\) and \(y\) are related by \(y=\frac{a}{x}+b\). It is given that \(y=5\) when \(x=2\), and \(y=3\) when \(x=4\).

1. Using the given information, write down two equations connecting \(a\) and \(b\).
2. Solve the equations obtained in (a) to find \(a\) and \(b\).
3. Hence, find the value of \(y\) when \(x=8\).