9
algebra

Solve: 15x=7515x = 75

A

1125

B

60

C

90

D

5

Correct Answer: D

Choice Bhoice D is the correct answer. To solve this multiplication equation, we divide both sides by the coefficient.

  1. Start with the equation: 15x=7515x = 75
  2. Divide both sides by 15: x=7515x = \frac{75}{15}
  3. Simplify: x=5x = 5
  4. Verify: 15(5)=7515(5) = 75

💡 Shortcut: If you know your multiplication facts, 15×5=7515 \times 5 = 75 is recognizable, so x=5x = 5 immediately.

Choice Bhoice A is incorrect because this results from adding: 75+15=9075 + 15 = 90. Addition is not the inverse of multiplication.

Choice Bhoice C is incorrect because this comes from subtracting: 7515=6075 - 15 = 60. Subtraction doesn't solve multiplication equations.

Choice Bhoice D is incorrect because this results from multiplying: 75×15=112575 \times 15 = 1125. This multiplies again instead of dividing to isolate xx.