The ordered pair that is a solution of the system can be traced to the x and y-axis by doing so from the point where both lines intersect. From the graph, these points are (4,10)
To check y =10, x =4
y=x+6.........(1)
10 = 4+6
10 = 10
y =2x+2..........(2)
10 = 2(4) + 2
10 = 10
So those coordinate points are correct