Find the solution set of the system `x+2y+z=1` `2x-3y-w=2` `xgeq0,ygeq0,zgeq0,wgeq0`

Find the solution set of the system x+2y+z=12x-3y-w=2x>=0,y>=0,z>=0,w>=0

Draw the diagram f the solution set of the linear inequations 3x+4ygeq12 ,\ ygeq1,\ xgeq0.

The number of non trivial solutions of the system x-y+2=0,x+2y-z=0,2x+y+3z=0

Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0 .

Show that the solution set of the following linear inequations is empty set: x-2ygeq0,\ 2x-yleq-2,\ xgeq0,\ ygeq0

Show that the solution set of the following linear inequations is empty set: x+2y ,\ lt=3,\ 3x+4ygeq12 ,\ ygeq1,\ xgeq0,\ ygeq0

The number of integral solutions of x+y+z=0 with xgeq-5,ygeq-5,zgeq-5 is

The number of non-trivial solutions of the system x=y+z=0, x+2y-z=0, 2x+y+3z=0 , is

The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+y+3z=0 is

Solve the system: x+3y-2z=0,2x-y+4z=0,x-11y+14z=0 .