The graph shows two lines, and the question asks how many solutions exist for the system of linear equations represented by these lines.

From the graph, we observe that the two lines are intersecting at one point. This means that the system of equations has exactly one solution. When two lines intersect at one point, their corresponding system of linear equations is consistent and independent, meaning there is only one unique solution.

Would you like more details or have any other questions? Here are some related questions:

1. How do you determine if two lines are parallel or intersect from their equations?
2. What does it mean for a system of linear equations to have no solution?
3. Can two lines have more than one solution in a system of linear equations?
4. What is the difference between dependent and independent systems of equations?
5. How can you solve a system of linear equations algebraically without using a graph?

Tip: When solving systems of linear equations graphically, always check if the lines are parallel (no solution), intersecting at one point (one solution), or overlapping (infinite solutions).