2

Set 7: Linear Equations

Explanation

Answer: C

Solve: x+23−x−14=2\frac{x+2}{3} - \frac{x-1}{4} = 2

A.

9

B.

11

C.

13

✓ Correct
D.

15

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Multiply by 12 (LCD): 4(x+2)−3(x−1)=244(x + 2) - 3(x - 1) = 24 2. Distribute: 4x+8−3x+3=244x + 8 - 3 x + 3 = 24 3. Combine: x+11=24x + 11 = 24 4. Subtract 11: x=13x = 13 Choice C is incorrect because sign error on -3(-1). Choice D is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 13

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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