### Fourier-Motzkin Elimination and the projection method

Posted:

**13 Mar 2023, 18:55**I am trying to eliminate 7 variables using Fourier-Motzkin elimination. I have a cone in 17 total variables with the first 7 variables greater or equal to 0 and then 14 equalities, some involving just the first 7 variables and some involving one of the last 10 variables and the first 7 variables.

I defined my cone as $C18 and then ran $C2 = projection($C18,[7,8,9,10,11,12,13,14,15,16]);

This runs for a while and then gives a killed: 9 . I am running this on a macbook. I'm not sure what exactly the problem is, it doesn't feel like it should be too big of example for it to run successfully and i've tried various other examples that were smaller 2 and it did the same thing. Do any of you know what mistake I might be making or another way I could eliminate my first 7 variables?

I defined my cone as $C18 and then ran $C2 = projection($C18,[7,8,9,10,11,12,13,14,15,16]);

This runs for a while and then gives a killed: 9 . I am running this on a macbook. I'm not sure what exactly the problem is, it doesn't feel like it should be too big of example for it to run successfully and i've tried various other examples that were smaller 2 and it did the same thing. Do any of you know what mistake I might be making or another way I could eliminate my first 7 variables?