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Question Number 5802 by sanusihammed last updated on 28/May/16

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

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

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