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

Step 1: Divide the first equation by 4: $\frac{12x - 8y}{4} = \frac{16}{4}$$3x - 2y = 4$

This is exactly the second equation!

Conclusion: Infinitely many solutions (identical lines)

💡 Strategic Tip: Look for common factors in all coefficients and constants—factoring out reveals relationships.

Choice B 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 systems cannot have exactly two solutions.