Calculus Examples

$x = 7 t$ , $y = t + 4$

Step 1

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

$x = 7 t$

Step 2

Rewrite the equation as $7 t = x$ .

$7 t = x$

Step 3

Divide each term in $7 t = x$ by $7$ and simplify.

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Step 3.1

Divide each term in $7 t = x$ by $7$ .

$\frac{7 t}{7} = \frac{x}{7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{7 t}{7} = \frac{x}{7}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{x}{7}$

Step 4

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

$y = (\frac{x}{7}) + 4$

Step 5

Remove parentheses.

$y = \frac{x}{7} + 4$

Step 6

Remove parentheses.

$y = (\frac{x}{7}) + 4$

Step 7

Remove parentheses.

$y = \frac{x}{7} + 4$