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

Math
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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 by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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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.
Simplify .
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To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Eliminate the Parameter x=2-3t , y=5+t

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