# How do you write the pair of parametric equations as a single equation in x and y given x=7t-7 and y=7t^2-3?

$y = {x}^{2} / 7 + 2 x + 4$
$x = 7 t - 7 \implies t = \frac{x + 7}{7}$
$y = 7 {t}^{2} - 3 = 7 {\left(\frac{x + 7}{7}\right)}^{2} - 3$
$= {x}^{2} / 7 + 2 x + 4$