Need help with Substitution Problem?

Question

I am struggling with the following problem, Help is appreciated

The following problem:

x= 5t^2^

x= 4t

Find all solutions for t and x

Answer 1

x = 5t^2, x = 4t

They both equal x, so set them equal to each other:

5t^2 = 4t (subtract 4t from both sides)

5t^2 - 4t = 0 (factor out a t)

t(5t - 4) = 0 (zero-product property)

t = 0 or 5t - 4 = 0

t = 0 or 5t = 4

t = 0 or t = 4/5

And now solve for x:

x = 4t

x = 4(0)

x = 0

x = 4t

x = 4(4/5)

x = 16/5

ANSWER: x = 0, t = 0; x = 16/5, t = 4/5