Which equations have infinitely many solutions? Select TWO that apply.

Question

A. 6(x - 9) = 6x - 54 + x

B. 5(x - 8) + 10 = 5(x + 2)

C. 20 - 8x - 6 = 2(7 - 4x)

D. 4(x + 4) = 2(2x + 5) + 6

E. 2x| 9 = 18 + 2x

Answer 1

The correct answers are A and C.

A. 6(x - 9) = 6x - 54 + x simplifies to 6x - 54 = 6x - 54 + x. This equation is true for any value of x, so it has infinitely many solutions.

C. 20 - 8x - 6 = 2(7 - 4x) simplifies to 14 - 8x = 14 - 8x. This equation is also true for any value of x, so it has infinitely many solutions.