Choice A is the correct answer. Check for coincident lines.

1. Equation 2: Divide by 2 $\rightarrow 2x + y = 5$.
2. Comparison: It is identical to Equation 1.
3. Result: Same line $\rightarrow$ Infinite solutions.

💡 Strategic Tip: If one equation is a multiple of the other, they are the same line.

Choice B is incorrect because they touch everywhere. Choice C is incorrect because they are not distinct. Choice D is incorrect because linear systems never have exactly two solutions.