How many solutions are there to the equation below?
9x + 27 = 9(x + 2) + 9
O A. Infinitely many
O B. 1
O c. o

Respuesta :

Answer:

A. Infinitely many

Step-by-step explanation:

9x + 27 = 9(x + 2) + 9

Distribute on the right side.

9x + 27 = 9x + 18 + 9

Combine like terms on the right side.

9x + 27 = 9x + 27

Subtract 27 from both sides.

9x = 9x

Divide both sides by 9.

x = x

x = x is a true statement for every value of x. Therefore, any value you substitute in for x will make the original equation true. That means there is a infinite number of solutions.

Answer: A. Infinitely many