A curve $$\(C\)$$ has parametric equations $$\[ x=\frac{t}{t-3} \quad y=\frac{1}{t}+2 \quad t \in \mathbb{R} \quad t> 3 \]$$ Show that all points on $$\(C\)$$ lie on the curve with Cartesian equation $$\[ y=\frac{a x-1}{b x} \]$$ where $$\(a\)$$ and $$\(b\)$$ are constants to be found. (3)

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