To identify the solution for the system of equations based on the x- and y-values in Jian's table, we need more information about the specific values in the table. However, I can explain how to interpret the responses you've provided.
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No Solution: This option typically indicates that the system of equations represents parallel lines that never intersect.
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(3, 0): This option implies that the point (3, 0) is the intersection of the two lines represented by the equations in the system, and therefore it is the solution to the system.
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Infinite Number of Solutions: This option usually means that the two equations represent the same line, leading to every point on that line being a solution.
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(2, -1): Similar to the (3, 0) option, this suggests that the point (2, -1) is another potential intersection point of the two lines.
If Jian's table provides specific corresponding x and y values, you would generally look for:
- If there is only one pair of (x,y) that satisfies both equations, that pair is the solution.
- If there's more than one (x,y) pair that satisfies both equations from the table (and they all lie on the same line), then there are infinitely many solutions.
- If no pairs satisfy both equations at the same time, then there's no solution.
Without Jian's actual table data, I cannot definitively say which is correct. Please provide the specific values from the table for a more accurate conclusion.