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Solve for b in the following equation: A=12(a+b)

(1 point)
Responses

b=12A−a
b is equal to 1 half cap A minus A

b=2A−a
b is equal to 2 cap A minus A

b=2A+a
b is equal to 2 cap A plus A

b=12A+a

1 answer

To solve for \( b \) in the equation \( A = 12(a + b) \), we can follow these steps:

  1. Start with the equation: \[ A = 12(a + b) \]

  2. Divide both sides by 12: \[ \frac{A}{12} = a + b \]

  3. Now, isolate \( b \) by subtracting \( a \) from both sides: \[ b = \frac{A}{12} - a \]

This means that the correct expression for \( b \) is:

\[ b = \frac{A}{12} - a \]

Looking at the responses provided, none of them seem to match this result. If we want to express it in a form proportional to \( A \), we could see that:

  • If we multiply both sides by 12, the answer could potentially be rewritten but would deviate from the provided options as they do not include a fraction.

Make sure to double-check the options or the original equation context for any additional clarifications needed.