The problem asks to identify the solution to a system of equations and select the statement that explains the solution. The provided solution is the ordered pair $(2, 7)$. We need to determine if this is a unique solution, infinitely many solutions, or no solution, and then choose the corresponding explanation. Assuming the solution is correct, it means the graphs intersect at exactly one point.

AlgebraSystems of EquationsLinear EquationsSolution SetsGraphical Interpretation
2025/3/13

1. Problem Description

The problem asks to identify the solution to a system of equations and select the statement that explains the solution. The provided solution is the ordered pair (2,7)(2, 7). We need to determine if this is a unique solution, infinitely many solutions, or no solution, and then choose the corresponding explanation. Assuming the solution is correct, it means the graphs intersect at exactly one point.

2. Solution Steps

If the solution to the system is (2,7)(2, 7), then the graphs of the two equations intersect at the point (2,7)(2, 7). Therefore, the graphs intersect at one point, so the solution is unique.

3. Final Answer

The correct option is:
A. The solution to the system is (2,7)(2,7).
The explanation is: The graphs intersect at one point, so the solution is unique.

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