Question

Eliminate the parameter. X=3t, y=t+7

Answer 1

y = x/3 + 7

Explanation:

Answer 2

`x - 3y = - 21`

EXPLANATION

We want to eliminate the parameter in the equation:

`x = 3t`

`y = t + 7`

We just have to make t the subject in any of the equations and substitute into the other.

Let us make t the subject in the second equation to get,

`t = y - 7`

Put this expression for t in the first equation to get:

`x = 3(y - 7)`

Expand to obtain:

`x = 3y - 21`

We rewrite this equation in standard form to get;

`x - 3y = - 21`