6
algebra

If 9x27=189x - 27 = 18, what is the value of xx?

A

-1

B

405

C

5

D

45

Correct Answer: C

Choice Dhoice D is the correct answer.

  1. Start with the equation: 9x27=189x - 27 = 18
  2. Add 27 to both sides: 9x=18+279x = 18 + 27
  3. Simplify: 9x=459x = 45
  4. Divide both sides by 9: x=459x = \frac{45}{9}
  5. Simplify: x=5x = 5
  6. Verify: 9(5)27=4527=189(5) - 27 = 45 - 27 = 18

Choice Dhoice A is incorrect because this results from subtracting 27 from 18: 9-9, then 9/9=1-9/9 = -1. We must add to undo subtraction.

Choice Dhoice C is incorrect because this is the value of 9x9x. Don't stop early!

Choice Dhoice C is incorrect because this results from multiplying 45 by 9: 405405.