,

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

Rewrite the equation as .

Add to both sides of the equation.

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

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

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

Simplify with factoring out.

Factor out of .

Rewrite as .

Factor out of .

Simplify the expression.

Rewrite as .

Move the negative in front of the fraction.

Eliminate the Parameter x=t-4 , y=-t/2+5