Question

Two thirds a number x plus 9 is 11

Answer 1

The answer to the question is x=1/2.

Answer 2

`x=3`

Explanation:

First, lets write this equation out

`(2)/(3) x+9=11`

Now we can begin solving for x.

First we need to subtract 9 from each side

`(2)/(3) x+9=11\\\\(2)/(3) x=2`

Now, we must divide by
`(2)/(3)`. Dividing by a fraction is the same as multiplying by its reciprocal, so instead I will multiply by
`(3)/(2)`

`(2)/(3) x=2\\\\x=2((3)/(2) )\\\\x=(6)/(2) \\\\x=3`