Choice C is the correct answer. Let's check the relationship.

Step 1: Multiply the first equation by 2: $2(4x - 2y) = 2(6)$$8x - 4y = 12$

Step 2: Compare with the second equation:

• Our result: $8x - 4y = 12$
• Given: $8x - 4y = 10$

Left sides match, but $12 \ eq 10$ → 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.