To obtain the second tableau, follow Step 5 and pivot on the selected entry (the "1" in Row 1, Column 3), as follows: (for quick instructions on how to pivot, press here).
x | y | z | s | t | u | p | Ans | |||
s | 7 | 0 | 1 | 1 | 0 | 0 | 0 | 6 | ||
t | 1 | 2 | 0 | 0 | 1 | 0 | 0 | 20 | ||
u | 0 | 3 | 4 | 0 | 0 | 1 | 0 | 30 | R_{3} 4R_{1} | |
p | 1 | 2 | 3 | 0 | 0 | 0 | 1 | 0 | R_{4} + 3R_{1} |
This gives
x | y | z | s | t | u | p | Ans | ||
z | 7 | 0 | 1 | 1 | 0 | 0 | 0 | 6 | |
t | 1 | 2 | 0 | 0 | 1 | 0 | 0 | 20 | |
u | 28 | 3 | 0 | 4 | 0 | 1 | 0 | 6 | |
p | 20 | 2 | 0 | 3 | 0 | 0 | 1 | 18 |
Notice that the first row lable changed from s to z. Why? because:
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