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

Step 1: Divide the first equation by 3: $\frac{6x + 9y}{3} = \frac{12}{3}$$2x + 3y = 4$

Step 2: Compare with the second equation:

• Our result: $2x + 3y = 4$
• Given: $2x + 3y = 5$

Left sides match, but $4 \ eq 5$ → Parallel lines, no solution

💡 Strategic Tip: When simplification gives different constants for the same left side, the system has no solution.

Choice A is incorrect because one solution requires different slopes.

Choice C is incorrect because infinite solutions requires both sides to match.

Choice D is incorrect because we can always determine this.