A. (6,2), B. (2,6), C. (3, 1), D. (1, 3)

=======================================================
Explanation:
The two lines cross at this location. This (x,y) point is located on both lines at the same time. A point on a line satisfies that said equation.
----------
An algebraic way to confirm the answer is to apply substitution to the first equation like so:
y = x+4
6 = 2+4
6 = 6
Repeat for the second equation
y = -0.5x+7
6 = -0.5*2+7
6 = -1+7
6 = 6
We end up with true equations for both cases, so this algebraically confirms (2,6) is the solution to the given system.