We can use the parametric equations $x = r \cos \theta$ and $y = r \sin \theta$ to eliminate the parameter $\theta$.
Substituting $r = \frac{6}{1+\cos \theta}$, we have:
$x = \frac{6}{1+\cos \theta} \cos \theta = \frac{6 \cos \theta}{1+\cos \theta}$
$y =
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