Convert the equalities below equalities by adding sack variables. Use s_1 and s_2 for your slack variables.

Convert the equalities below equalities by adding sack variables. Use for your slack variables.
$3{x}_{1}+9{x}_{2}\le 42$ converts to () =42
$15{x}_{1}+7{x}_{2}\le 38$ converts to () = 38
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Leonard Stokes
Step 1
Solution: Given:
$3{x}_{1}+9{x}_{2}\le 42\to \left(1\right)$
$15{x}_{1}+7{x}_{2}\le 38\to \left(2\right)$
Now to equalize the above equation , we add to the above eqn (1) and (2) respectively,
$3{x}_{1}+9{x}_{2}+{s}_{1}=42\to \left(1a\right)$
$15{x}_{1}+7{x}_{2}+{s}_{2}=38\to \left(2f\right)$
Step 2
$\therefore$ For initial simplex , basis feasible solution in

$3{x}_{1}+9{x}_{2}+{s}_{1}=42$
$15{x}_{1}+7{x}_{2}+{s}_{2}=38$