Question 9 Answer & Explanation - SAT Algebra

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algebra

Determine the number of solutions: $\begin{cases} 3x - 6y = 9 \\ x - 2y = 3 \end{cases}$

No solution

Exactly one solution

Infinitely many solutions

Cannot be determined

Correct Answer: C

Choice C is the correct answer. Let's check Choice A is incorrect because no solution requires parallel lines with different constants.

Choice B is incorrect because exactly one solution requires different slopes.

Choice D is incorrect because we can always determine the number of solutions by comparing equations.

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