Write as a Function of q q=12-3p

$q = 12 - 3 p$

Step 1

Rewrite the equation as $12 - 3 p = q$ .

$12 - 3 p = q$

Step 2

Subtract $12$ from both sides of the equation.

$- 3 p = q - 12$

Step 3

Divide each term in $- 3 p = q - 12$ by $- 3$ and simplify.

Divide each term in $- 3 p = q - 12$ by $- 3$ .

$\frac{- 3 p}{- 3} = \frac{q}{- 3} + \frac{- 12}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 p}{- 3} = \frac{q}{- 3} + \frac{- 12}{- 3}$

Divide $p$ by $1$ .

$p = \frac{q}{- 3} + \frac{- 12}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$p = - \frac{q}{3} + \frac{- 12}{- 3}$

Divide $- 12$ by $- 3$ .

$p = - \frac{q}{3} + 4$

Step 4

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

$f (q) = - \frac{q}{3} + 4$

Write as a Function of q q=12-3p

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