Question

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

Answer 1

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.