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23 July, 06:58

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

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Answers (1)
  1. 23 July, 08:04
    0
    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
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