Question

How to solve and check my solutions

Answer 1

see explanation

Explanation:

Subtract
`(2)/(3x)` from both sides

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

Cross- multiply

3x = 12 ( divide both sides by 3 )

x = 4

As a check

Substitute x = 4 into the equation and if both sides are equal then it is the solution.

left side

`(2)/(12)` +
`(1)/(6)` =
`(1)/(6)` +
`(1)/(6)` =
`(2)/(6)` =
`(1)/(3)`

right side

`(4)/(12)` =
`(1)/(3)`

Both sides are equal hence x = 4 is the solution