Solve for b in the following formula: A=1/2(a+b)
To solve for b in the formula A = 1/2(a + b), we first need to isolate the variable b by following the steps below:
1. Distribute the 1/2 to both terms inside the parentheses:
A = 1/2a + 1/2b
2. Subtract 1/2a from both sides to isolate the term containing b:
A - 1/2a = 1/2b
3. Multiply both sides by 2 to cancel out the fraction on the right side:
2(A - 1/2a) = b
4. Simplify the left side:
2A - a = b
Therefore, the solution for b in the formula A = 1/2(a + b) is b = 2A - a.