Write as a Function of q q=20-p

$q = 20 - p$

Step 1

Rewrite the equation as $20 - p = q$ .

$20 - p = q$

Step 2

Subtract $20$ from both sides of the equation.

$- p = q - 20$

Step 3

Divide each term in $- p = q - 20$ by $- 1$ and simplify.

Divide each term in $- p = q - 20$ by $- 1$ .

$\frac{- p}{- 1} = \frac{q}{- 1} + \frac{- 20}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{p}{1} = \frac{q}{- 1} + \frac{- 20}{- 1}$

Divide $p$ by $1$ .

$p = \frac{q}{- 1} + \frac{- 20}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{q}{- 1}$ .

$p = - 1 \cdot q + \frac{- 20}{- 1}$

Rewrite $- 1 \cdot q$ as $- q$ .

$p = - q + \frac{- 20}{- 1}$

Divide $- 20$ by $- 1$ .

$p = - q + 20$

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.

$f (q) = - q + 20$

Write as a Function of q q=20-p

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