To match the correct solution to each system of equations based on their graphs, you would typically look for the point of intersection of the lines:
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No solution: This occurs when the two lines are parallel and will never intersect.
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Infinitely many solutions: This occurs when the two equations represent the same line, so every point on the line is a solution.
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(1, 1): This is a specific point of intersection, meaning the two lines intersect at this coordinate.
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(-1, 2): This is another specific point of intersection.
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(-1.5, 4.5): This is also a specific point of intersection.
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(0, -1): This is another specific point of intersection.
Since I can't see the graphs you're referring to, you'll need to analyze the graphs according to these descriptions:
- If you notice two lines that do not intersect, label it as "No solution."
- If two lines overlap completely, label it as "Infinitely many solutions."
- If you can identify a specific intersection point, match it to the corresponding coordinate.
Once you analyze each graph, place the correct solution beneath it according to your findings.