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Question Number 5792 by sanusihammed last updated on 28/May/16

Solve simultaneously     2x + y − z = 8        ...... equation(i)  x^2  − y^2  + 2z^2  = 14  .... equation(ii)  3x^3  + 4x^3  + z^3   = 195  ..... equation(iii)    please help thanks.

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

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