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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

User Wandang
by
8.2k points

1 Answer

6 votes

Answer:

A. Infinitely many

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

User Abigale
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8.1k points