Set 16: Linear Equations (Intermediate)

Choice C is correct. Choice A is the correct answer. 1. Distribute: $kx - k = 5 x + 7$ 2. Condition: For no solution, slopes must be equal ($k=5$) and intercepts different ($-k \neq 7$). 3. Result: $k = 5$ (since $-5 \neq 7$). Choice B is incorrect because slopes wouldn't match. Choice D is incorrect because slopes wouldn't match. Choice A is incorrect because slopes wouldn't match.