Solve this system of equations by eliminating the variable t, and then solve for a without t

Question

Solve this system of equations by eliminating the variable t, and then solve for a without t

x=(1/2)(a)(t^2)

v=(a)(t)

Answer 1

You can do this in couple ways:

1: Eliminate "t" by plugging in t = v/a into distance equation i.e. x = 1/2 a t^2 , then determine a.

2: Or you can substitute t value into v = at.

In both cases, you get v^2 = 2ax.