Question

Find a set of parametric equations for the rectangular equation.

t = 7-x
y = 1/x

Answer 1

D: x = 7 - t; y = -1/(t-7)

Explanation:

We are given the rectangular equation.

t = 7 - x

y = 1/x

Now, from the first equation, let's make x the subject;

x = 7 - t

Let's put 7 - t for x in the second equation to obtain;

y = 1/(7 - t)

7 - t can also be expressed as -(t - 7)

Thus;

y = 1/-(t - 7)

y = -1/(t-7)

Thus, the parametric equations are;

x = 7 - t; y = -1/(t-7)