Question

Which of the following equations has no solution?

Group of answer choices

A.)4x – 13 = 5(x+4)

B.)5(3 + 2x) = 10x + 4

C.)2(3 – 5x) = 8(x + 1)

D.)9x – 6 = 3(3x – 2)

Answer 1

B and D

Explanation:

Equations with the same x- term on both sides will have no solution

A

4x - 13 = 5(x + 4) = 5x + 20

4x ≠ 5x

This equation has a solution

B

5(3 + 2x) = 10x + 4

15 + 10x = 10x + 4

10x on both sides ⇒ no solution

C

2(3 - 5x) = 8(x + 1)

6 - 10x = 8x + 8

- 10x ≠ 8x

This equation has a solution

D

9x - 6 = 3(3x - 2) = 9x - 6

9x on both sides ⇒ no solution