Question

How do you solve `-1 = b/4-7`?

Answer 1

`b/4=6`
In other words `b=24`

Explanation:

Arrange your equation first:

`-1+7=b/4`

`6=b/4`

or

`6*4=b`

Finally you get

`b=24`

This is the solution:

`b=24`

Answer 2

`b=24`

Explanation:

To eliminate the fraction, multiply ALL terms by 4, the denominator of the fraction.

`(4xx-1)=(cancel(4)^1xxb/cancel(4)^1)-(4xx7)`

`rArr-4=b-28larrcolor(red)" no fractions"`

`"add 28 to both sides"`

`-4+28=bcancel(-28)cancel(+28)`

`rArr24=b" or " b=24`

`color(blue)"As a check"`

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

`"right side "=24/4-7=6-7=-1=" left side"`

`rArrb=24" is the solution"`