6
algebra

If 3x9=213x - 9 = 21, what is the value of xx?

A

10

B

30

C

4

D

90

Correct Answer: A

Choice Choice C is the correct answer.

  1. Start with the equation: 3x9=213x - 9 = 21
  2. Add 9 to both sides: 3x=21+93x = 21 + 9
  3. Simplify: 3x=303x = 30
  4. Divide both sides by 3: x=303x = \frac{30}{3}
  5. Simplify: x=10x = 10
  6. Verify: 3(10)9=309=213(10) - 9 = 30 - 9 = 21

Choice Choice C is incorrect because this results from subtracting 9 from 21: 1212, then 12/3=412/3 = 4. We must add to undo subtraction.

Choice Choice B is incorrect because this is the value of 3x3x. Don't stop early!

Choice Choice D is incorrect because this results from multiplying 30 by 3: 9090.