Question 7 Answer & Explanation - SAT Algebra

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algebra

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

No solution

Infinite solutions

$(0, 5)$

$(1, 8)$

Correct Answer: A

Choice A is the correct answer. Parallel lines.

Slopes: Both are 3.
Intercepts: $0$ and $5$ (Different).
Conclusion: Parallel lines never intersect.

💡 Strategic Tip: If you try to solve, you get $3x = 3x + 5 \rightarrow 0 = 5$ (False).

Choice B is incorrect because lines are distinct. Choice C is incorrect.Choice D is incorrect.

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