Set 7: Linear Functions (Advanced)

Explanation

Answer: A

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

No solution

✓ Correct

Infinite solutions

$(0, 5)$

$(1, 8)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Parallel lines. 1. Slopes: Both are 3. 2. Intercepts: $0$ and $5$ (Different). 3. Conclusion: Parallel lines never intersect. Strategic Tip: If you try to solve, you get $3x = 3 x + 5 \rightarrow 0 = 5$ (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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