Parametric Equations:

Problem $8$: $(10$ points$)$ Determine a parametric equation $($or parameterize$)$ for each of the following curves:

$($a$)$ the intersection of the planes $x-2yz=4,2xy-z=0$

$($b$)$ the curve $x^2{y}^2=16$

$($c$)$ the intersection of the plane $4x-yz=3$ and the circular cylinder $x^2{z}^2=1$