The function pivoteqn(C, var) returns a sublist of equations from C. Each equation eq returned achieves the minimum non-negative ratio of

In the special case where all ratios are negative, the function returns FAIL.

The linear equations C are in the special form produced by simplex[setup].

The command with(simplex,pivoteqn) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{simplex}\right)\:$

$\mathrm{pivoteqn}\left(\left\{\mathrm{\_SL1}=5-4x-3y\,\mathrm{\_SL2}=4-3x-4y\right\}\,x\right)$

$\left[\mathrm{\_SL1}=5-4x-3y\right]$