2

Set 8: Linear Equations

Explanation

Answer: B

Solve: x2+x3=10\frac{x}{2} + \frac{x}{3} = 10

A.

6

B.

12

✓ Correct
C.

60

D.

5

Detailed Explanation

Choice B is correct. Choice D is the correct answer. 1. Find LCD: LCD is 6. 2. Multiply by 6: 3x+2x=603x + 2 x = 60 3. Combine: 5x=605x = 60 4. Divide by 5: x=12x = 12 5. Verify: 6+4=106+ 4 = 10 ✓ Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice 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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