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Make b the subject of the following formula: a = (14 + 2b) / c

June 25, 2026Mathematics

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Answer

b = \frac{ac - 14}{2}

3 steps

Here's how to make $b$ the subject of the formula.

Q.7. Make $b$ the subject of the following formula:

a = \frac{14 + 2b}{c}

Multiply both sides of the equation by $c$ to eliminate the denominator.
$a \times c = \frac{14 + 2b}{c} \times c$ $ac = 14 + 2b$
Subtract 14 from both sides of the equation to isolate the term with $b$ .
$ac - 14 = 14 + 2b - 14$ $ac - 14 = 2b$
Divide both sides by 2 to solve for $b$ .
$\frac{ac - 14}{2} = \frac{2b}{2}$ $b = \frac{ac - 14}{2}$
The formula with $b$ as the subject is $\boxed{b = \frac{ac - 14}{2}}$ .

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