Question

How many solutions are there to the equation below. 9x+27=9(x+2)+9

Answer 1

Answer:

All Real Numbers Are Solutions

Explanation:

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

• Simplify both sides of the equation.

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

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

9x + 27 = 9x + 18 + 9

9x + 27 = (9x) + (18) (Combine Like Terms)

9x + 27 = 9x + 27

9x + 27 = 9x + 27

• Subtract 9x from both sides.

9x + 27 − 9x = 9x + 27 − 9x

27 = 27

• Subtract 27 from both sides.

27 − 27 = 27 − 27

0 = 0

Therefore, all real numbers are solutions.