Solve the equation for the specified variable.
A= 1/2h(B + b) for b
Just do whatever legal moves it takes to make b be the only thing on one side of the equals sign. What is b in terms of everything else?
A= 1/2h(B + b)
2A = Bh + bh
2A - Bh = bh
b = (2A - Bh)/h
To solve the equation A = 1/2h(B + b) for b, we'll follow the steps below:
Step 1: Distribute the 1/2h to both B and b.
A = (1/2h) * B + (1/2h) * b
Step 2: Move the term (1/2h) * B to the other side of the equation by subtracting it from both sides.
A - (1/2h) * B = (1/2h) * b
Step 3: Simplify the left side of the equation.
A - (1/2h) * B = b/(2h)
Step 4: Multiply both sides by 2h to isolate b.
2h * (A - (1/2h) * B) = b
Step 5: Simplify the right side of the equation.
2hA - B = b
Therefore, the equation A = 1/2h(B + b) solved for b is b = 2hA - B.