What is the best approximation of the solutions to the system to the nearest integer values?

a. (7, 1)
b. (1, 7)
c. (0, 6)
d. (7, 0)

The first number in the couplet is the distance along the x-axis (i.e. distance from the y-axis).  We can read 0.8 from the graph.
The second number is the distance along the y-axis (i.e.distance from the x-axis).  We can read 6.7 from the graph.

So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.