Choice B is the correct answer. Let's rearrange the first equation to compare.

Step 1: From $y = \frac{5}{2}x + 3$, rearrange to standard form: $y - \frac{5}{2}x = 3$

Multiply by -2: $-2y + 5x = -6$

Or: $5x - 2y = -6$

This is exactly the second equation!

Conclusion: Infinitely many solutions (same line)

💡 Strategic Tip: Fractional coefficients can be eliminated by multiplying by the denominator.

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 we can always determine this by converting forms.