Question

Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

Answer 1

Hi there!

$\large\boxed{(-\frac{5}{3},-\frac{5}{3})}$

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.