Choice Choice A is the correct answer.

1. Distribute: $kx - k = 5x + 7$
2. Condition: For no solution, slopes must be equal ($k=5$) and intercepts different ($-k eq 7$).
3. Result: $k = 5$ (since $-5 eq 7$).

Choice Choice B is incorrect because slopes wouldn't match.

Choice Choice D is incorrect because slopes wouldn't match.

Choice Choice A is incorrect because slopes wouldn't match.