Sure! Here are the correct explanations matched with their corresponding terms for possible solutions to a system of equations:
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One solution: The graphs of the equations intersect at exactly one point, indicating a unique solution for the system.
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No solutions: The graphs of the equations are parallel and never intersect, indicating that there are no possible solutions that satisfy both equations simultaneously.
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Infinite solutions: The equations represent the same line, meaning they coincide entirely, and thus, there are an infinite number of solutions that satisfy the system.
You can insert these explanations accordingly based on the responses needed in your system.