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

Responses

b=2 A−a

b=1/2A−a

b=2A+a

b=1/2 A+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. Rearrange to isolate \( b \): \[ b = 2A - a \]

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

So, the correct response is: b = 2A - a.