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Find values of and that make each system of equations true (i.e., solve each system). Be sure to show your work or explain your thinking clearly.

  1. Remember that .

    You can use this fact to make the first equation , and then substitute for in the second equation.

    Solve for .

  1. Here are three possible methods for solving.

    Since , you can use substitution.
    Then solve for and substitute to find .


    Solve the first equation for and substitute into the second equation. Then solve for and substitute to find .

    Since neither nor can equal , divide the second by the first.