Question

Select the correct choice below and fill in any answer boxes in your choice

Answer 1

We have the next equation

`(1)/(2)+(4)/(x)=(5)/(6)`

We will subtract 1/2 on both sides

`(1)/(2)+(4)/(x)-(1)/(2)=(5)/(6)-(1)/(2)`
`(4)/(x)=(5)/(6)-(1)/(2)`
`(4)/(x)=(1)/(3)`

then we multiply x on both sides

`(4x)/(x)=(x)/(3)`
`4=(x)/(3)`

then we multiply 3 on both sides

`4(3)=(x(3))/(3)`
`12=x`

As we can see the solution is x=12

The solution set is {12}