Write as a Function of Q 6Q=14-2P

$6 Q = 14 - 2 P$

Step 1

Rewrite the equation as $14 - 2 P = 6 Q$ .

$14 - 2 P = 6 Q$

Step 2

Subtract $14$ from both sides of the equation.

$- 2 P = 6 Q - 14$

Step 3

Divide each term in $- 2 P = 6 Q - 14$ by $- 2$ and simplify.

Divide each term in $- 2 P = 6 Q - 14$ by $- 2$ .

$\frac{- 2 P}{- 2} = \frac{6 Q}{- 2} + \frac{- 14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 P}{- 2} = \frac{6 Q}{- 2} + \frac{- 14}{- 2}$

Divide $P$ by $1$ .

$P = \frac{6 Q}{- 2} + \frac{- 14}{- 2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $6$ and $- 2$ .

Factor $2$ out of $6 Q$ .

$P = \frac{2 (3 Q)}{- 2} + \frac{- 14}{- 2}$

Move the negative one from the denominator of $\frac{3 Q}{- 1}$ .

$P = - 1 \cdot (3 Q) + \frac{- 14}{- 2}$

Rewrite $- 1 \cdot (3 Q)$ as $- (3 Q)$ .

$P = - (3 Q) + \frac{- 14}{- 2}$

Multiply $3$ by $- 1$ .

$P = - 3 Q + \frac{- 14}{- 2}$

Divide $- 14$ by $- 2$ .

$P = - 3 Q + 7$

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.

$f (Q) = - 3 Q + 7$

Write as a Function of Q 6Q=14-2P

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