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Math Help - simplex method problem

  1. #1
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    simplex method problem

    solve following system of linear equations by using simplex

    2x+y-z=1
    -2x+2y-z=-2
    x+z=3

    x,y,z>=0

    here no objective fn is given i tried to use artificial variables and make a auxilarly lpp but this is not also working as i am getting a solution that satisfies only the first and second equations i.e. i am getting the values of only x and z

    please help..
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  2. #2
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    Re: simplex method problem

    The problem can't be as stated. You have 3 equations in 3 unknowns and the solution is what it is. You can't further specify x,y,z>0 without potentially having no solution at all. From what I read simplex method problems are generally optimization problems or systems of inequalities.

    This is just a straightforward system of equations with solution {1,1,2}
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  3. #3
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    Re: simplex method problem

    but can we convert the equality to inequality i read it in my book that it can be done but didnt understand much
    please help
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  4. #4
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    Re: simplex method problem

    You can, but it then will be a different problem.
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