8
algebra

If x54=6\frac{x}{5} - 4 = 6, what is the value of xx?

A

50

B

10

C

10

D

2

Correct Answer: A

Choice Bhoice D is the correct answer.

  1. Start with the equation: x54=6\frac{x}{5} - 4 = 6
  2. Add 4 to both sides: x5=6+4\frac{x}{5} = 6 + 4
  3. Simplify: x5=10\frac{x}{5} = 10
  4. Multiply both sides by 5: x=10×5x = 10 \times 5
  5. Simplify: x=50x = 50
  6. Verify: 5054=104=6\frac{50}{5} - 4 = 10 - 4 = 6

Choice Bhoice D is incorrect because this results from subtracting 4 from 6: 22, then 2×5=102 \times 5 = 10. Wrong inverse operation.

Choice Bhoice C is incorrect because this is the value of x5\frac{x}{5}. You must multiply by 5.

Choice Bhoice C is incorrect because this results from dividing 10 by 5: 22. We need to multiply.