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24 February, 05:04

A system of two linear equations has an infinite number of solutions. How is this possible?

A) It's not; the graphs of the two equations can intersect only once.

B) The two equations are the same line.

C) The equations are parallel lines.

D) There was an error in solving the system.

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Answers (1)
  1. 24 February, 05:33
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    A system of linear equations means two or more linear equations.

    A system of two linear equations has an infinite number of solutions is the rarest case and it only happens when both the lines are same.

    For example,

    y = 3x+1 and 4y = 12x + 8

    These lines will have infinite number of solutions.

    Hence,

    The best answer is:

    B) The two equations are the same line.
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