Precalculus Examples

$y = 2 t$ , $x = \frac{35}{2} + t$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = \frac{35}{2} + t$

Step 2

Rewrite the equation as $\frac{35}{2} + t = x$ .

$\frac{35}{2} + t = x$

Step 3

Subtract $\frac{35}{2}$ from both sides of the equation.

$t = x - \frac{35}{2}$

Step 4

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = 2 (x - \frac{35}{2})$

Step 5

Simplify $2 (x - \frac{35}{2})$ .

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Step 5.1

Apply the distributive property.

$y = 2 x + 2 (- \frac{35}{2})$

Step 5.2

Cancel the common factor of $2$ .

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Step 5.2.1

Move the leading negative in $- \frac{35}{2}$ into the numerator.

$y = 2 x + 2 (\frac{- 35}{2})$

Step 5.2.2

Cancel the common factor.

$y = 2 x + 2 (\frac{- 35}{2})$

Step 5.2.3

Rewrite the expression.

$y = 2 x - 35$