# simplex method problem

• Feb 22nd 2014, 12:46 PM
prasum
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

• Feb 23rd 2014, 12:57 AM
romsek
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}
• Feb 23rd 2014, 02:03 AM
prasum
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