Question

How do you solve `7 | q | - 2 = 9`?

Answer 1

`q=+-11/7`

Explanation:

`7absq=9+2`
`absq=11/7`
`q=+-11/7`

Answer 2

`q=+-11/7`

Explanation:

`color(blue)"Isolate " |q|" on the left side"`

`"add 2 to both sides"`

`7|q|cancel(-2)cancel(+2)=9+2`

`rArr7|q|=11`

`"divide both sides by 7"`

`(cancel(7) |q|)/cancel(7)=11/7`

`rArr|q|=11/7`

`"the value of q inside the absolute value function can be"`
`"positive or negative"`

`rArrq=+-11/7`