Choice B is the correct answer. Let's check if one equation is a multiple of the other.

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

This is exactly the first equation!

Step 2: Since both equations represent the same line, there are infinitely many solutions.

💡 Strategic Tip: Negative multiples also create identical equations—don't let the negative sign confuse you.

Choice A is incorrect because no solution requires parallel lines with different constants.

Choice C is incorrect because one solution requires different slopes.

Choice D is incorrect because linear equations cannot have exactly two solutions.