Precalculus Examples

$y = 3 x - 8$

Step 1

Rewrite the equation as $3 x - 8 = y$ .

$3 x - 8 = y$

Step 2

Add $8$ to both sides of the equation.

$3 x = y + 8$

Step 3

Divide each term in $3 x = y + 8$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = y + 8$ by $3$ .

$\frac{3 x}{3} = \frac{y}{3} + \frac{8}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{y}{3} + \frac{8}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{y}{3} + \frac{8}{3}$

Step 4

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = \frac{y}{3} + \frac{8}{3}$