Question

Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction

Answer 1

x=7 we are both correct

Explanation:

Answer 2

`x = 7`

Explanation:

Given

`(4)/(3)x - (1)/(3) = 9`

Required

Solve for x

`(4)/(3)x - (1)/(3) = 9`

Add
`(1)/(3)` to both sides

`(4)/(3)x - (1)/(3) + (1)/(3) = 9 + (1)/(3)`

`(4)/(3)x = 9 + (1)/(3)`

Take LCM

`(4)/(3)x = (27 + 1)/(3)`

`(4)/(3)x = (28)/(3)`

Multiply both sides by
`(3)/(4)`

`(3)/(4) * (4)/(3)x = (3)/(4) *(28)/(3)`

Evaluate the left hand side

`x = (3)/(4) *(28)/(3)`

`x = (28)/(4)`

Divide 28 by 4

`x = 7`