Find parametric equations for the tangent line at $t = 3$ for the motion of a particle given by $x(t) = 2t^{2}+1$, $y(t) = 5t^{3}$.

For the line,
$x(t) =$
$y(t) =$
(Note that because the correctness of a parametrically described line depends on both $x(t)$ and $y(t)$, both of your answers may be marked incorrect if there is an error in one of them.)