Eliminate the parameter. x = 5t, y = t + 8

Solution:

Given: Two parametric functions.

x = 5t --- (1)

y = t + 8 --- (2)

The parameter can be eliminated by first solving for the parameter from equation 1 and then substituting it back into equation 2.

From (1) by rewriting we get,

t = x/5

Substituting t = x/5 in (2).

We get y = x/5 +8 on eliminating the parameter.

Eliminate the parameter. x = 5t, y = t + 8

Summary:

Eliminating the parameter we get y = x/5 +8