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 by sou1618 last updated on 08/Nov/16
$${x},{y},{z}\neq\mathrm{0} \\ $$$${xy}−{x}=\mathrm{3}\Rightarrow\left({xy}−{x}\right){z}=\mathrm{3}{z} \\ $$$$\Rightarrow{xyz}=\mathrm{3}{z}+{xz}=\mathrm{3} \\ $$$${xyz}=\mathrm{3} \\ $$