Choice B is the correct answer. Let's check the relationship between the equations.

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

Step 2: Compare with the second equation:

• Our result: $4x + 2y = 8$
• Given second equation: $4x + 2y = 7$

The left sides are identical ($4x + 2y$), but the right sides are different ($8 \ eq 7$).

Conclusion: The lines are parallel but don't overlap → no solution

💡 Strategic Tip: An impossible equation like "8 = 7" signals parallel lines with no intersection.

Choice A is incorrect because one solution requires different slopes.

Choice C is incorrect because infinitely many solutions requires both sides to match completely.

Choice D is incorrect because perpendicular lines have slopes whose product is $-1$. Here both lines have slope $-2$, not perpendicular.