https://file.aiquickdraw.com/mathbot/file/1726687604054ak6tjbq3.jpg

The graph in the image shows two lines: one blue and one red. To find the solution to the system of equations represented by these lines, we need to determine the point where the two lines intersect. The intersection of two lines on a graph represents the solution to the system of equations, as it satisfies both equations.

Looking closely at the graph:
- The blue line appears to pass through points like (-6, -2) and (6, 2), so it has a positive slope.
- The red line appears to pass through points like (-6, -6) and (6, 0), so it also has a positive slope.

The lines intersect at the point \((3, 0)\), which is the solution to the system.

Thus, the correct answer is \((3, 0)\).

Would you like a deeper explanation of how to solve such systems, or do you have other questions?

Here are some related questions:
1. How do you determine the slope of a line from a graph?
2. What is the significance of the intersection point of two lines in a system of equations?
3. Can two lines on a graph have no solutions, and when does that happen?
4. How do parallel lines affect the number of solutions in a system of equations?
5. What is the algebraic method for solving systems of linear equations?

**Tip:** When solving graphically, always ensure you carefully check where the lines intersect for an accurate solution.

What is the solution to the system of equations graphed below?

Solve the system of linear equations graphically by finding the intersection point of two lines. In this example, the two lines intersect at (3, 0), making this the solution. Suitable for students in Grades 8-10.

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