Choice A is the correct answer. Let's check if the equations are consistent.

Step 1: Multiply the first equation by 2: $2(5x + 2y) = 2(8)$$10x + 4y = 16$

Step 2: Compare with the second equation:

• Our result: $10x + 4y = 16$
• Given: $10x + 4y = 15$

The left sides match, but $16 \ eq 15$. This is impossible!

Conclusion: Parallel lines, no solution

💡 Strategic Tip: An inconsistency like "16 = 15" means the lines are parallel but never meet.

Choice B is incorrect because infinite solutions require both sides to match.

Choice C is incorrect because one solution requires different slopes.

Choice D is incorrect because we can always determine this.