How do you write these as a single equation?

Question

a) x = t + 1

y = t^2 - t

b) x = t^(1/3) - 1

y = t^2 -t

c) x = sint

y = cost

thank you!

Answer 1

I'll do the first, you try the others.  You can try to replace the variable in one equation with what that variable equals in the other:

a) x = t + 1 (so t = x - 1)

y = t^2 - t

y = (x - 1)² - (x - 1)

The only variable common to both equations was t, so  I rearranged the first equation to find t, and replaced t with (x-1) because it is equal to t.