Set 13: Systems of Equations

Choice C is correct. Choice C is the correct answer. Step 1: Multiply the first equation by 2: 2(4 x - 2 y) = 2(6)$8x - 4 y = 12$$$ Step 2: Compare with the second equation: - Our result: 8x - 4 y = 12$- Given:$8x - 4 y = 10$Left sides match, but$12\neq 10$→ Parallel but not identical Conclusion: No solution (parallel lines that never meet) Strategic Tip: "Parallel but not identical" is another way of saying "no solution." Choice A is incorrect because intersecting at one point requires different slopes. Choice B is incorrect because identical lines would have$12= 10$$, which is false. Choice D is incorrect because both lines have the same slope (2), not perpendicular slopes.