8

Set 12: Linear Equations

Explanation

Answer: B

Solve for xx: 12x+5=11\frac{1}{2}x + 5 = 11

A.

6

B.

12

✓ Correct
C.

32

D.

3

Detailed Explanation

Choice B is correct. Choice Ahoice D is the correct answer. 1. Subtract 5: 12x=6\frac{1}{2}x = 6 2. Multiply by 2: x=12x = 12 3. Verify: 12(12)+5=6+5=11\frac{1}{2}(12) + 5 = 6 + 5 = 11 ✓ Choice Ahoice B is incorrect because it results from an error in the solution process. Choice Ahoice C is incorrect because it results from an error in the solution process. Choice Ahoice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 12

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