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Question Number 7330 by Tawakalitu. last updated on 23/Aug/16

Solve the simultaneous equation     2x  + y  − z = 8 ......... (i)  x^2  − y^2  + 2z^2  = 14  ..........(ii)  3x^3  + 4y^3  + z^3  = 195  ............ (iii)

$${Solve}\:{the}\:{simultaneous}\:{equation}\: \\ $$$$ \\ $$$$\mathrm{2}{x}\:\:+\:{y}\:\:−\:{z}\:=\:\mathrm{8}\:.........\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:..........\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:............\:\left({iii}\right) \\ $$

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