How do you solve for B in A= \frac { 1} { 2} h ( b + B)?

1 Answer
Oct 13, 2017

(2A)/h-b=B

Explanation:

A=1/2h(b+B)

Multiplying color(red)2" & "color(red)(1/h from both sides to isolate (b+B) on RHS:-

color(red)(2times 1/h)timesA=1/cancel2cancelh(b+B)timescolor(red)(cancel2times 1/cancelh

=>(2A)/h=b+B

Subtracting color(blue)b from both sides:-

=(2A)/hcolor(blue)(-b)=cancelb+Bcolor(blue)(cancel(-b

=>(2A)/h-b=B