Estimate the solution to the system of these linear equations based on the graph.

y = -5x + 7
y = -2x + 10

(12, -1)
(1, -12)
(-1, -12)
(-1, 12)

From the graph of the two equations, it appears that the lines intersect at the point (-1, 12). Therefore, we can estimate that the solution to the system of equations is x = -1 and y = 12. So the correct option is (-1, 12).