3
algebra

If x5=8\frac{x}{5} = 8, what is the value of xx?

A

13

B

40

C

3

D

1.6

Correct Answer: B

Choice Ahoice C is the correct answer. When a variable is divided by a number, we multiply to solve.

  1. Start with the equation: x5=8\frac{x}{5} = 8
  2. Multiply both sides by 5: x=8×5x = 8 \times 5
  3. Calculate: x=40x = 40
  4. Verify: 405=8\frac{40}{5} = 8

💡 Key Strategy: Division equations like xa=b\frac{x}{a} = b always have the solution x=abx = ab. Multiply the number on the right by the divisor.

Choice Ahoice B is incorrect because this results from dividing 8 by 5 instead of multiplying: 85=1.6\frac{8}{5} = 1.6. This applies division again rather than using its inverse.

Choice Ahoice C is incorrect because this comes from adding: 8+5=138 + 5 = 13. Addition is not the inverse of division.

Choice Ahoice D is incorrect because this results from subtracting: 85=38 - 5 = 3. Subtraction doesn't undo division.