A.  Check Up

 

The general form works well with the elimination method. If you are not sure how best to rearrange the equations, consider rearranging them to general form.

  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.   «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»



Click here for the answer.

Click here for a downloadable Check Up.