Question

Ariana correctly simplify an expression. When she substituted x equals 2 into the simplify expression, the value was -4 which could be Ariana's original expression

1/6(-3x-24)

1/6(-5x-8)

1/6(-10x-4)

1/6(-12x-16)

Answer 1

The correct answer would be C. Hope it helps :)

Answer 2

Ariana's original expression is

`(1)/(6)* (-10x-4)`

Explanation:

• 
  `(1)/(6)* (-3x-24)\\\\at\ x=2,\ we\ get\\\\(1)/(6)* (-30)\\ \\=-5`

• 
  `(1)/(6)* (-5x-8)\\\\at\ x=2,\ we\ get\\\\(1)/(6)* (-18)\\ \\=-3`

• 
  `(1)/(6)* (-10x-4)\\\\at\ x=2,\ we\ get\\\\(1)/(6)* (-24)\\ \\=-4`

• 
  `(1)/(6)* (-12x-16)\\\\at\ x=2,\ we\ get\\\\(1)/(6)* (-40)\\ \\=-20/3`

Hence, Ariana's original expression is

`(1)/(6)* (-10x-4)`