9

Set 8: Linear Equations (Intermediate)

Explanation

Answer: C

If 3(x+1)=3x+53(x + 1) = 3x + 5, what is the solution?

A.

1

B.

Infinite Solutions

C.

No Solution

✓ Correct
D.

0

Detailed Explanation

Choice C is correct. Choice D is the correct answer. 1. Distribute: 3x+3=3x+53x + 3 = 3 x + 5 2. Subtract 3 x: 3=53= 5 3. Analyze: Contradiction. 4. Conclusion: No Solution. Choice C is incorrect because the constants are different. 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 No Solution

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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