Question

H=2A/B+b for B?

Answer 1

See the entire solution process below:

Explanation:

First, subtract `color(red)(b)` from each side of the equation to isolate the `B` term while keeping the equation balanced:

`H - color(red)(b) = (2A)/B + b - color(red)(b)`

`H - b = (2A)/B + 0`

`H - b = (2A)/B`

Now, multiply each side of the equation by `color(red)(B)/color(blue)(H - b)` to solve for `B`:

`color(red)(B)/color(blue)(H - b) xx (H - b) = color(red)(B)/color(blue)(H - b) xx (2A)/B`

`color(red)(B)/cancel(color(blue)(H - b)) xx color(blue)(cancel(color(black)((H - b)))) = cancel(color(red)(B))/color(blue)(H - b) xx (2A)/color(red)(cancel(color(black)(B)))`

`B = (2A)/(H - b)`