Write as a Function of q 8q=18-2p

$8 q = 18 - 2 p$

Step 1

Rewrite the equation as $18 - 2 p = 8 q$ .

$18 - 2 p = 8 q$

Step 2

Subtract $18$ from both sides of the equation.

$- 2 p = 8 q - 18$

Step 3

Divide each term in $- 2 p = 8 q - 18$ by $- 2$ and simplify.

Divide each term in $- 2 p = 8 q - 18$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{8 q}{- 2} + \frac{- 18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{8 q}{- 2} + \frac{- 18}{- 2}$

Divide $p$ by $1$ .

$p = \frac{8 q}{- 2} + \frac{- 18}{- 2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $8$ and $- 2$ .

Factor $2$ out of $8 q$ .

$p = \frac{2 (4 q)}{- 2} + \frac{- 18}{- 2}$

Move the negative one from the denominator of $\frac{4 q}{- 1}$ .

$p = - 1 \cdot (4 q) + \frac{- 18}{- 2}$

Rewrite $- 1 \cdot (4 q)$ as $- (4 q)$ .

$p = - (4 q) + \frac{- 18}{- 2}$

Multiply $4$ by $- 1$ .

$p = - 4 q + \frac{- 18}{- 2}$

Divide $- 18$ by $- 2$ .

$p = - 4 q + 9$

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.

$f (q) = - 4 q + 9$

Write as a Function of q 8q=18-2p

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