Which equation has infinitely many solutions? a. 12 + 4x = 6x + 10 – 2x b. 5x + 14 – 4x = 23 + x – 9 c. x + 9 – 0.8x = 5.2x + 17 – 8 d. 4x – 2x = 20?

b. 5x + 14 – 4x = 23 + x – 9

Step-by-step explanation:

a. In solving the equation we get,

12 + 4x = 6x + 10 – 2x

⇒ 4x + 12 - 10 - 4x = 0

⇒ 2 = 0

which is not true.

Thus, it has No solution.

b. 5x + 14 – 4x = 23 + x – 9

⇒ x + 14 - 14 - x = 0

⇒ 0 = 0

which is true thus it has infinite number of solution.

c. x + 9 – 0.8x = 5.2x + 17 – 8

⇒ -5.4x = 0

⇒ x = 0

Since this equation has solution thus has Single Solution.

d. 4x – 2x = 20

⇒ 2x = 20

⇒ x = 10

Since this equation has solution thus has Single Solution.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.