Question

Help!!! what is 1/2b -16 = -4?

Answer 1

b = 24

Explanation:

`\sf (1)/(2)b-16=-4`

Add 16 to both sides.

`\sf (1)/(2)b=-4+16\\\\ \sf (1)/(2)b=12`

Multiply both sides by 2.

`\sf2* (1)/(2)b=12*2\\\\1b=24`

Divide both sides by 1.

`\sf b = (24)/(1) \\\\b =24`

Answer 2

`b=24`

Explanation:

`(1)/(2)b-16=-4`

First, start by adding
`16` to both sides of the equation:

`(1)/(2) b=12`

To make this problem easier, it would be a good idea to identify
`0.5` as the decimal equivalent of the fraction
`(1)/(2)`:

`0.5b=12`

Divide both sides of the equation by the coefficient of
`b`, which is
`0.5`.

(**Tip: Dividing by a half is the same as multiplying by
`2`):

`b=24`

-

To check our work and solution, substitute the solved value of
`b`, (
`24`), into the initial equation:

`(1)/(2)b-16=-4`

`(1)/(2)(24)-16=-4`

`12-16=-4`

`-4=-4`

Since both sides of the equation are equal, our solution is correct!