To match each graph to the correct description of the number of solutions the system of equations has, here’s a guide to identify the solution types based on visual characteristics of the graphs:

1. One Solution: The two equations graph as lines that intersect at exactly one point. Look for two lines crossing each other at a single point.

2. Infinite Number of Solutions: The two equations graph as the same line. This happens when the equations are equivalent, resulting in overlapping lines.

3. No Solution: The two equations graph as parallel lines. Parallel lines never intersect, so there are no points that satisfy both equations.

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To help clarify further, you can provide the graphs or describe the specific relationships. Would you like to upload the graph images, or do you need additional help visualizing this?

Here are 5 questions to expand understanding:

1. What visual feature of the graph indicates a single solution?
2. How can you tell when lines are parallel versus overlapping?
3. What mathematical properties (e.g., slope, y-intercept) are identical for infinite solutions?
4. Can this concept extend to systems of equations that are not linear, like quadratic equations?
5. How might a graphing calculator or software be used to verify solutions?

Tip: Always compare the slopes and y-intercepts of the equations to determine their relationship (intersecting, parallel, or overlapping).