Question Number 8965 by Joel575 last updated on 08/Nov/16 | ||
$${If} \\ $$ $${xy}\:−\:{x}\:=\:{yz}\:−\:\mathrm{2}{y}\:=\:{xz}\:+\:\mathrm{3}{z}\:=\:\mathrm{3} \\ $$ $${and} \\ $$ $${xyz}\:>\:\mathrm{0} \\ $$ $${What}\:{is}\:{the}\:{value}\:{of}\:{xyz}\:? \\ $$ | ||
Commented bysou1618 last updated on 08/Nov/16 | ||
$${x},{y},{z}\neq\mathrm{0} \\ $$ $${xy}−{x}=\mathrm{3}\Rightarrow\left({xy}−{x}\right){z}=\mathrm{3}{z} \\ $$ $$\Rightarrow{xyz}=\mathrm{3}{z}+{xz}=\mathrm{3} \\ $$ $${xyz}=\mathrm{3} \\ $$ | ||