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Need help with this have exam tommorow.

  1. Sep 14, 2005 #1
    I have a system of equations

    2x + 4y - z = 2
    x - y + 2z = 1

    I need to find a third equation so that there is a unique solution for the unknows x , y and z, and find them.

    Please help

    Thanks,
     
  2. jcsd
  3. Sep 14, 2005 #2

    LeonhardEuler

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    Gold Member

    Just FYI, this belongs in the homework section, but anyway: all's you need to do is find an equation such that the vector whose entries are the coefficents of the x, y and z variables is not a linear combination of the two vectors obtained from the other two eqautions. Pretty much all you need to do is make a guess and check that it works. To make life easy you should probably pick an easy equation like x=something.
     
  4. Sep 15, 2005 #3

    HallsofIvy

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    Staff Emeritus
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    Or: solve the two equations for x, y in terms of z. Choose whatever value for z you want, calculate x,y for that z and just make up a linear equation that they will solve (for example x+ y+ z= whatever their actual sum is).
     
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