Choice B is the correct answer. Let's substitute $(2, 6)$ into both equations.

First equation: $3x + y = 12$$3(2) + 6 = 6 + 6 = 12$ ✓

Second equation: $2x - y = -2$$2(2) - 6 = 4 - 6 = -2$ ✓

Since $(2, 6)$ satisfies both equations, it is the Choice A is incorrect because it satisfies both.

Choice C is incorrect because it satisfies both.

Choice D is incorrect because it satisfies both.