https://file.aiquickdraw.com/mathbot/file/1727712650287bilffwjm.jpg

The image shows three systems of linear equations plotted on graphs. Let's analyze each one to determine the solutions based on the points where the lines intersect:

1. **First graph (leftmost):**
   - The two lines intersect at the point (1, 2). Therefore, the solution to this system is **(1, 2)**.

2. **Second graph (middle):**
   - The two lines intersect at the point (-2, -3). Therefore, the solution to this system is **(-2, -3)**.

3. **Third graph (rightmost):**
   - The two lines intersect at the point (2, -3). Therefore, the solution to this system is **(2, -3)**.

In summary:
- First system: Solution is **(1, 2)**
- Second system: Solution is **(-2, -3)**
- Third system: Solution is **(2, -3)**

Would you like a more detailed explanation of any of the steps or other related topics? 

Here are five follow-up questions for further exploration:
1. How do you determine the solution of a system of linear equations from a graph?
2. What would happen if two lines are parallel in a system of equations?
3. How do you solve systems of equations algebraically?
4. Can a system have more than one solution?
5. How do you handle cases where the lines do not intersect at a clear point?

**Tip:** When solving systems of equations graphically, always make sure to accurately plot the points where the lines intersect to avoid errors in determining the solution.

Determine the solution of a given system of linear equations. Give at least one solution if possible.

Learn how to solve a system of linear equations by graphing. This lesson covers the key concepts of algebra and graphing linear equations, including how to find the point of intersection between two lines. Suitable for Grades 7-9.

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