https://file.aiquickdraw.com/mathbot/file/1729612925220a1gy9zm4.jpg

The image shows four graphs (A, B, C, D) plotting "3 Point Shots" on the y-axis and "2 Point Shots" on the x-axis. The task is to identify which graph represents the system of linear equations and its solution.

Looking closely at the graphs:

- **Graph A**: The two lines intersect at a single point, indicating a solution to the system.
- **Graph B**: The lines cross each other, indicating a solution, but the configuration suggests inconsistent scales or behaviors.
- **Graph C**: The lines are parallel, which indicates no solution, as parallel lines never intersect.
- **Graph D**: The lines intersect at a point, indicating one solution to the system.

Based on this analysis, **Graph A** represents the system and its solution because it shows two lines intersecting at a single point, which is the correct behavior for a system with one solution.

Would you like more details or have any other questions?

Here are 5 related questions to consider:
1. What do parallel lines in a system of equations signify?
2. How can you determine the solution of a system by graphing?
3. What are the possible types of solutions for a system of two linear equations?
4. How would you write the system of equations for Graph A?
5. What is the significance of the intersection point in a system of equations?

**Tip**: Always check if the lines in a system are parallel to determine if there’s no solution!

Which graph represents the system and its solution?

This question asks which graph represents the system of linear equations and its solution. The solution involves identifying whether the lines intersect, are parallel, or overlap. Suitable for Grades 8-10, it covers key concepts in graphing and solving systems of equations.

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