3
algebra

Solve for xx: x5+3=8\frac{x}{5} + 3 = 8

A

55

B

2.2

C

1

D

25

Correct Answer: D

Choice Ahoice D is the correct answer.

  1. Start with the equation: x5+3=8\frac{x}{5} + 3 = 8
  2. Subtract 3 from both sides: x5=83\frac{x}{5} = 8 - 3
  3. Simplify: x5=5\frac{x}{5} = 5
  4. Multiply both sides by 5: x=5×5x = 5 \times 5
  5. Simplify: x=25x = 25
  6. Verify: 255+3=5+3=8\frac{25}{5} + 3 = 5 + 3 = 8

Choice Ahoice C is incorrect because this results from adding 3 to 8: 1111, then 11×5=5511 \times 5 = 55. Wrong inverse operation.

Choice Ahoice B is incorrect because this results from dividing 5 by 5: 11. We need to multiply.

Choice Ahoice D is incorrect because this results from adding 3 to 8: 1111, then dividing by 5: 11/5=2.211/5 = 2.2.