Question

Which expressions could complete this equation so that it has an infinite number of solutions? 9x-3(x+8)=





Choose exactly two answers that are correct.



A.6x-24




B.6(x-3)+6




C.14+5x-34




D.8(x-3)-2x

Answer 1

An infinite number of solution will exist when the expression is true for all x.

The given expression is 
9x - 3(x+8)
= 9x - 3x - 3×8
= 6x - 24

A. So option A is a solution.

B. 6(x-3)+6
= 6x - 6×3 + 6
= 6x - 12
Option B is not a solution

C. 14 + 5x  -34
= 14 - 34 + 5x
= 5x - 20
Option C is not a solution.

D. 8(x-3) - 2x
= 8x - 8×3 - 2x
= 8x - 2x - 24
= 6x - 24
So option D is a solution.

So correct options are option A and D.