4

Set 12: Linear Functions (Advanced)

Explanation

Answer: A

Solve the system: y=3xy = 3x and y=3x+5y = 3x + 5.

A.

No solution

✓ Correct
B.

Infinite solutions

C.

(0,5)(0, 5)

D.

(1,8)(1, 8)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Parallel lines. 1. Slopes: Both are 3. 2. Intercepts: 00 and 55 (Different). 3. Conclusion: Parallel lines never intersect. Strategic Tip: If you try to solve, you get 3x=3x+50=53x = 3 x + 5 \rightarrow 0 = 5 (False). Choice B is incorrect because lines are distinct. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is No solution

Why others are wrong:
B: Choice B 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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