Choice A is the correct answer. Set equations equal.

1. Equate: $2x = x + 4$.
2. Solve for x: Subtract $x$$\rightarrow x = 4$.
3. Solve for y: Substitute back $\rightarrow y = 2(4) = 8$.
4. Point: $(4, 8)$.

💡 Strategic Tip: The intersection point is the solution to the system of equations.

Choice B is incorrect because check $y=2x$ ($4=4$) but $y=x+4$ ($4=2+4$) fails. Choice C is incorrect because fails first equation. Choice D is incorrect because fails second equation.