Given the parametric equations below eliminate the parameter

Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x {x(t) = 4 squareroot t y(t) = 3t + 7 y(x) = _______________

Solution

x(t) = 4*sqrt(t)

y(t) = 3t + 7

Now x/4 = sqrt(t) ======> t = x^2/16

Then y(x) = 3*(x^2/16) + 7 =========> Required equation