2024 VJC H1 Q1

The curve \(C\) has equation \(y = \frac{x - 1}{x}\). Find the value of \(a\) such that the line \(L\) with equation \(y = ax + 13\) is a tangent to \(C\). Hence find the value of \(x\) at the point where \(L\) is a tangent to \(C\).[4]