SOLUTION: A=1/2(b+B) solve for B

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Question 113426: A=1/2(b+B) solve for B
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Your equation is unclear.
Do you mean
A=1%2F%282%28b%2BB%29%29
or do you mean
A=%281%2F2%29%2A%28b%2BB%29%29
We'll do it both ways.
A=%281%2F2%29%2A%28b%2BB%29%29
2A=b%2BB+ Multiply both sides by 2.
2A-b=B Subtract b from boths sides.
B=2A-b
and
A=1%2F%282%28b%2BB%29%29
2A%28b%2BB%29=1%29 Multiply both sides by 2(b+B).
2Ab%2B2AB=1 Distribute 2A through.
2AB=1-2Ab Subtract 2Ab from both sides.
B=%281-2Ab%29%2F%282A%29 Divide both sides by 2A.