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

Question

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

Answer 1

To solve for \( b \) in the equation \( A = \frac{1}{2} (a + b) \), we will first isolate \( b \).

1. Start with the original equation: \[ A = \frac{1}{2} (a + b) \]

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

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

So the solution for \( b \) is: \[ b = 2A - a \]

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