5
algebra

Solve: x+23x14=2\frac{x+2}{3} - \frac{x-1}{4} = 2

A

9

B

11

C

13

D

15

Correct Answer: C

Choice Bhoice C is the correct answer.

  1. Multiply by 12 (LCD): 4(x+2)3(x1)=244(x + 2) - 3(x - 1) = 24
  2. Distribute: 4x+83x+3=244x + 8 - 3x + 3 = 24
  3. Combine: x+11=24x + 11 = 24
  4. Subtract 11: x=13x = 13

Choice Bhoice C is incorrect because sign error on -3(-1).

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice A is incorrect because calculation error.