Question

Question #b8a65

Answer 1

The format of the question is not clear.
`b = 3/24 = 1/8 " or "b = -20/3 = -6 2/3`

Explanation:

The format of the question is not clear.

It could be `3/(3b) + 4 = 2/b - 4" " or " " 3/(3b + 4) = 2/(b - 4)`

In `3/(3b) + 4 = 2/b - 4 " multiply by 3b to cancel the denominators"`

`color(red)(3b)xx3/(3b) + 4xxcolor(red)(3b) = 2/bxxcolor(red)(3b) - 4xxcolor(red)(3b)`

`cancelcolor(red)(3b)xx3/cancel(3b) + 4xxcolor(red)(3b) = 2/cancelbxxcolor(red)(3cancelb) - 4xxcolor(red)(3b)`

`3 + 12b = 6 - 12b`

`24b= 3`

`b = 3/24 = 1/8`

In `3/(3b + 4) = 2/(b - 4) " "` There is one fraction on each side of `" "`the equal sign, so we can cross multiply.

`2(3b + 4) = 3(b-4)`

`6b + 8 = 3b -12`

`3b = -20`

`b = -20/3 = -6 2/3`