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Question Number 192187 by alcohol last updated on 10/May/23

 { ((z_1  + z_2  = a)),((z_2  + z_3  = b)),((z_3  + z_4  = c)),((z_1  + z_4  = d)) :}  solve using gaussian elimination

$$\begin{cases}{{z}_{\mathrm{1}} \:+\:{z}_{\mathrm{2}} \:=\:{a}}\\{{z}_{\mathrm{2}} \:+\:{z}_{\mathrm{3}} \:=\:{b}}\\{{z}_{\mathrm{3}} \:+\:{z}_{\mathrm{4}} \:=\:{c}}\\{{z}_{\mathrm{1}} \:+\:{z}_{\mathrm{4}} \:=\:{d}}\end{cases} \\ $$$${solve}\:{using}\:{gaussian}\:{elimination} \\ $$

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