7
algebra

Which value of xx satisfies x10=5\frac{x}{10} = 5?

A

0.5

B

50

C

2

D

15

Correct Answer: B

Choice Ahoice D is the correct answer. The question asks which value makes the equation true, so we solve for xx.

  1. Start with the equation: x10=5\frac{x}{10} = 5
  2. Multiply both sides by 10: x=5×10x = 5 \times 10
  3. Calculate: x=50x = 50
  4. Verify: 5010=5\frac{50}{10} = 5

💡 Quick Check: You can verify by asking: "50 divided by 10 equals what? Yes, 5!"

Choice A is incorrect because this results from adding: 10+5=1510 + 5 = 15. Addition is not the inverse of division.

Choice B is incorrect because this comes from dividing 10 by 5 instead of multiplying: 105=2\frac{10}{5} = 2. This is backwards.

Choice D is incorrect because this results from dividing 5 by 10: 510=0.5\frac{5}{10} = 0.5. This divides in the wrong direction.