Answer:
Ariana's original expression is
[tex]\dfrac{1}{6}\times (-10x-4)[/tex]
Step-by-step explanation:
- [tex]\dfrac{1}{6}\times (-3x-24)\\\\at\ x=2,\ we\ get\\\\\dfrac{1}{6}\times (-30)\\ \\=-5[/tex]
- [tex]\dfrac{1}{6}\times (-5x-8)\\\\at\ x=2,\ we\ get\\\\\dfrac{1}{6}\times (-18)\\ \\=-3[/tex]
- [tex]\dfrac{1}{6}\times (-10x-4)\\\\at\ x=2,\ we\ get\\\\\dfrac{1}{6}\times (-24)\\ \\=-4[/tex]
- [tex]\dfrac{1}{6}\times (-12x-16)\\\\at\ x=2,\ we\ get\\\\\dfrac{1}{6}\times (-40)\\ \\=-20/3[/tex]
Hence, Ariana's original expression is
[tex]\dfrac{1}{6}\times (-10x-4)[/tex]