The graph shows two lines, A and B: A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 0 and the ordered pair 0, 4. Another straight line labeled B joins the ordered pair 0, 1 and the ordered pair 5, 6.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
A. (1, 2) is the solution to line A but not to line B.
B. (1, 2) is the solution to both lines A and B.
C. (0, 1) is the solution to both lines A and B.
D. (0, 1) is the solution to line A but not to line B.