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Solve for b in the following equation: A = 1/2 (a + b)

A. b = 1/2A - a
B. b = 2A + a
C. b = 1/2A + a
D. b = 2A - a

1 answer

To solve for \( b \) in the equation \( A = \frac{1}{2}(a + b) \), we can follow these steps:

  1. Multiply both sides by 2 to eliminate the fraction: \[ 2A = a + b \]

  2. Now, isolate \( b \) by subtracting \( a \) from both sides: \[ b = 2A - a \]

Thus, the correct answer is: D. \( b = 2A - a \).