Replies to post #157 on The Weekend Lounge

[Soapy Bubbles]

Now the x's are done, use the rows w/ x=0 to clean up the y's:

 
 Tableau #3 
 x      y      z      s1     s2     s3     p              
 0      0      2      1      -1     -1     0      8       
 1      0      -1     0      1      -1     0      1       
 0      1      3      0      -1     2      0      6       
 0      0      3      0      1      2      1      22      
 
 
  
 This tells you: 
  
 (last row) p = 22 and z=0 (since it is in the row w/ r=1) 
 (second to last row) y+z=6 -> y=6. 
 Now you can get x by back sub, x=1. (from second row) 
  
 Note: 
  
 2z=8 
 y+3z=6 
 gives you y. (In case you're stuck.)