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If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.
6x − 2y = 2,
9x − 3y = 1

  • Math -

    There is no solution, since the two equations correspond to parallel lines that do not intersect. In other words, they are incompatible equations.

    The second equation can be rewritten
    6x - 2y = 2/3, which clearly disagrees with
    6x - 2y = 2.

    I don't know what you mean by "set builder notation".

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