,

Set up the parametric equation for to solve the equation for .

Rewrite the equation as .

Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Move the negative in front of the fraction.

Dividing two negative values results in a positive value.

Replace in the equation for to get the equation in terms of .

Remove parentheses.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Eliminate the Parameter x=2-3t , y=5+t