Set 14: Systems of Equations (Advanced)

Choice B is correct. Choice B is the correct answer. For no solution, we need parallel lines. Analysis: - First line: slope = -5, y-intercept = 8 - Second line: slope = $m$, y-intercept = -4 Condition for no solution: - Same slope: $m = -5$ - Different y-intercepts: 8 ≠ -4 ✓ (already different) With $m = -5$, both lines have slope -5 but different y-intercepts, making them parallel. Strategic Tip: Match slopes for parallel lines; keep different intercepts for no solution. Choice A is incorrect because $m = 8$ gives different slopes (-5 and 8), resulting in one solution. Choice C is incorrect because $m = 5$ gives different slopes, resulting in one solution. Choice D is incorrect because $m = -4$ gives different slopes, resulting in one solution.