6
algebra

If 7x21=147x - 21 = 14, what is the value of xx?

A

35

B

5

C

245

D

-1

Correct Answer: B

Choice Dhoice C is the correct answer.

  1. Start with the equation: 7x21=147x - 21 = 14
  2. Add 21 to both sides: 7x=14+217x = 14 + 21
  3. Simplify: 7x=357x = 35
  4. Divide both sides by 7: x=357x = \frac{35}{7}
  5. Simplify: x=5x = 5
  6. Verify: 7(5)21=3521=147(5) - 21 = 35 - 21 = 14

Choice Dhoice B is incorrect because this results from subtracting 21 from 14: 7-7, then 7/7=1-7/7 = -1. We must add to undo subtraction.

Choice Dhoice D is incorrect because this is the value of 7x7x. Don't stop early!

Choice Dhoice A is incorrect because this results from multiplying 35 by 7: 245245.