Question

Solve for the given variab A=(1)/(2)h(B+b), for B

Answer 1

To solve for B in the equation A=(1/2)h(B+b), isolate B by multiplying by 2, then distribute and isolate B to one side, before dividing by h.

Step-by-step explanation:

To solve for B in the equation A=(1/2)h(B+b), we need to isolate B. First, multiply both sides of the equation by 2 to eliminate the fraction: 2A = h(B+b). Then, distribute h to both terms inside the parentheses: 2A = hB + hb. Next, subtract hb from both sides to isolate hB: 2A - hb = hB. Finally, divide both sides by h to solve for B: B = (2A - hb)/h.

1. Multiply both sides by 2 to get rid of the fraction: 2A = h(B + b).
2. Divide both sides by h to isolate the term with B: (2A/h) = B + b.
3. Finally, subtract b from both sides to solve for B: B = (2A/h) - b.

Now the equation is solved for B in terms of A, h, and b.