Precalculus Examples

$x = t - 1$ , $y = 5 t$

Step 1

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

$x = t - 1$

Step 2

Rewrite the equation as $t - 1 = x$ .

$t - 1 = x$

Step 3

Add $1$ to both sides of the equation.

$t = x + 1$

Step 4

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

$y = 5 (x + 1)$

Step 5

Simplify $5 (x + 1)$ .

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Step 5.1

Apply the distributive property.

$y = 5 x + 5 \cdot 1$

Step 5.2

Multiply $5$ by $1$ .

$y = 5 x + 5$