Question

Can someone plz help with 21?? Thanks!

Answer 1

option 4

Explanation:

`(2)/(3)` (
`(1)/(4)` x - 2) =
`(1)/(5)` (
`(4)/(3)` x - 1) ← distribute parenthesis on both sides

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

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = -
`(34)/(3)` = - 11.333..

Answer 2

4) -11.3...

Explanation:

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...