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What are the solutions to the system of equations?

(0, 5)
(-2, 1)
(0, -1)
(1, -2)
no solution




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1 Answer

  1. To analyze the given points: (0, 5), (-2, 1), (0, -1), and (1, -2), we should check whether they can form a system of equations.

    1. Understanding Points: Each point represents a coordinate (x, y) in a Cartesian plane.
    2. Forming Lines: We can consider each point to see if a linear relationship can be established. However, these points appear scattered.
    3. Verify if they can lie on a single line: To find the line equation, we typically need a minimum of two points. Evaluating pairs of points for collinearity can help.

    The calculation shows that these specific points do not lie on the same straight line since their slopes vary.

    Thus, as suggested, no set of linear equations from these points produce a consistent solution, leading to the conclusion:

    Answer: No solution.

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