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

Step 1: Divide the first equation by 2: $\frac{2x + 6y}{2} = \frac{10}{2}$$x + 3y = 5$

Step 2: Compare with the second equation:

• Our result: $x + 3y = 5$
• Given: $x + 3y = 7$

Left sides match, but $5 \ eq 7$ → Parallel but not identical

Conclusion: No solution (parallel lines that never meet)

💡 Strategic Tip: Same left side + different right side = parallel lines (no solution).

Choice A is incorrect because identical lines would have $5 = 7$, which is false.

Choice B is incorrect because both lines have the same slope ($-\frac{1}{3}$), not perpendicular.

Choice D is incorrect because lines with the same slope don't intersect.