3
algebra

Solve for xx: x3+5=9\frac{x}{3} + 5 = 9

A

42

B

12

C

1.33

D

4

Correct Answer: B

Choice Bhoice D is the correct answer.

  1. Start with the equation: x3+5=9\frac{x}{3} + 5 = 9
  2. Subtract 5 from both sides: x3=95\frac{x}{3} = 9 - 5
  3. Simplify: x3=4\frac{x}{3} = 4
  4. Multiply both sides by 3: x=4×3x = 4 \times 3
  5. Simplify: x=12x = 12
  6. Verify: 123+5=4+5=9\frac{12}{3} + 5 = 4 + 5 = 9

Choice Bhoice C is incorrect because this results from adding 5 to 9: 1414, then 14×3=4214 \times 3 = 42. Wrong inverse operation.

Choice Bhoice D is incorrect because this is the value of x3\frac{x}{3}. You must multiply by 3.

Choice Bhoice C is incorrect because this results from dividing 4 by 3: 1.331.33. We need to multiply.