Write as a Function of Q Q=30-P

$Q = 30 - P$

Step 1

Rewrite the equation as $30 - P = Q$ .

$30 - P = Q$

Step 2

Subtract $30$ from both sides of the equation.

$- P = Q - 30$

Step 3

Divide each term in $- P = Q - 30$ by $- 1$ and simplify.

Divide each term in $- P = Q - 30$ by $- 1$ .

$\frac{- P}{- 1} = \frac{Q}{- 1} + \frac{- 30}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{P}{1} = \frac{Q}{- 1} + \frac{- 30}{- 1}$

Divide $P$ by $1$ .

$P = \frac{Q}{- 1} + \frac{- 30}{- 1}$

Simplify the right side.

Simplify each term.

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

$P = - 1 \cdot Q + \frac{- 30}{- 1}$

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

$P = - Q + \frac{- 30}{- 1}$

Divide $- 30$ by $- 1$ .

$P = - Q + 30$

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.

$f (Q) = - Q + 30$

Write as a Function of Q Q=30-P

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