To solve this system of equations based on the graph provided:

1. The two lines on the graph represent the equations:
   • 2x + 3y = 9 (blue line)
   • y = x + 8 (green line)

The solution to the system is the point where both lines intersect. From the graph, we observe the lines intersect at the point (1, 9). This is the solution to the system of equations.

Therefore, the solution is the ordered pair (1, 9).

Would you like to go through the steps of solving these equations algebraically to confirm? Or do you have any questions about the process?

Here are some related questions that might interest you:

1. How do you solve a system of equations by substitution?
2. What does the graph of a system of equations represent geometrically?
3. How do you determine if a system has one solution, no solution, or infinitely many solutions from a graph?
4. Can you solve the system using the elimination method?
5. How would you graph these two equations to find the solution without relying on the visual?

Tip: When graphing a system of equations, always look for the point of intersection, as it gives you the solution to the system.