Question

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

Answer 1

`\bf \begin{cases} x=5t\implies (x)/(5)=\boxed{t}\\ y=t+8\\ ----------\\ y=\boxed{(x)/(5)}+8 \end{cases}`

Answer 2

`y=(1)/(5)x+8`

Explanation:

The parametric equations are

x = 5t...(i)

y = t+8...(ii)

We have to eliminate the parameter t

From equation (i), find the value of t

`t=(1)/(5)x`

Substituting this value in (ii)

`y=(1)/(5)x+8`

Therefore, on eliminating the parameter t, we have the equation

`y=(1)/(5)x+8`