Question

How do you solve for b in `A = 1/2h(B + b)`?

Answer 1

You isolate it on one side of the equation.

Explanation:

To solve your expression for `b`, you need to isolate it on one side of the equation.

One way in which you can do that is by multiplying boths sides of the equation by 2 to get rid of the fraction.

`2 * A = cancel(2) * 1/cancel(2) * h(B + b)`

`2A = h(B + b)`

Now divide both sides of the equation by `h` to get

`(2A)/h = cancel(h)/cancel(h) * (B + b)`

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

Finally, move `B` on the other side of the equation by subtracting it from both sides of the equation

`(2A)/h - B = cancel(B) - cancel(B) + b`

And there you have it, `b` is equal to

`b = color(green)((2A)/h - B)`