Find the equivalent Cartesian equation for the parametric equations given below. Which curve does this represent?

$\displaystyle

x = 2 + 4\cos t

$

$\displaystyle

y = 4 + 6\sin t

$

So far all I've done is isolate x and y by itself (not sure if this is the write course of action).

$\displaystyle

\cos t = \frac {x}{8}

$

$\displaystyle

\sin t = \frac {y}{24}

$

Any help would be appreciated!