Solve for b in A = 1/2(a+b). Responses: b = 1/2 A+a. b = 1/2 A - a. b = 2A - a b = 2A + a

1 answer

To solve for \( b \) in the equation \( A = \frac{1}{2}(a + b) \), we can start by multiplying both sides of the equation by 2 to eliminate the fraction:

\[ 2A = a + b \]

Next, we want to isolate \( b \). To do this, we can subtract \( a \) from both sides:

\[ b = 2A - a \]

So, the solution for \( b \) is:

\[ \boxed{b = 2A - a} \]