10

Set 16: Linear Equations (Intermediate)

Explanation

Answer: B

Solve for xx: x3+x4=7\frac{x}{3} + \frac{x}{4} = 7

A.

21

B.

12

✓ Correct
C.

14

D.

7

Detailed Explanation

Choice B is correct. Choice Ahoice B is the correct answer. 1. LCD: 12 2. Multiply by 12: 4x+3x=844x + 3 x = 84 3. Combine: 7x=847x = 84 4. Divide by 7: x=12x = 12 5. Verify: 4+3=74+ 3 = 7 ✓ Choice Ahoice D 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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