Question
Make \( b \) the subject of the following formula: \[ a=\frac{14+2 b}{c} \]
Ask by Martinez Watson. in South Africa
Mar 15,2025
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Answer
\( b = \frac{ac - 14}{2} \)
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The Deep Dive
To make \( b \) the subject of the formula, we can start by multiplying both sides by \( c \) to eliminate the fraction: \[ ac = 14 + 2b \] Next, we can isolate \( 2b \) by subtracting \( 14 \) from both sides: \[ 2b = ac - 14 \] Finally, divide both sides by \( 2 \) to solve for \( b \): \[ b = \frac{ac - 14}{2} \] Therefore, \( b \) is expressed as: \[ b = \frac{ac - 14}{2} \]