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  1. Solve the following system of equations by elimination. Verify the solution.

    1.   «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»5«/mn»«mi»y«/mi»«mo»=«/mo»«mn»14«/mn»«/math»
        «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mn»6«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»14«/mn»«/math»

      2. One x-coefficient is positive and the other is negative. Adding the two equations will eliminate these terms.



      The solution is x = −3 and y = −4.

      Verify the solution.




    2.   «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo»-«/mo»«mfrac»«mi»p«/mi»«mn»3«/mn»«/mfrac»«mo»=«/mo»«mfrac»«mi»q«/mi»«mn»2«/mn»«/mfrac»«/math»

        «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»5«/mn»«mn»3«/mn»«/mfrac»«mo»(«/mo»«mn»2«/mn»«mi»p«/mi»«mo»-«/mo»«mn»3«/mn»«mo»)«/mo»«mo»=«/mo»«mn»10«/mn»«/math»

      The equations are in different formats. Begin by rearranging them into the same format.



      Verify the solution.