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Question Number 197112 by sonukgindia last updated on 08/Sep/23

	Answered by deleteduser1 last updated on 08/Sep/23

	$2 x = 1135 - y \Rightarrow 2 y + 4 z = 890 \Rightarrow y + 2 z = 445$ $x = 345 + z, y = 445 - 2 z, z = z$ $\Rightarrow N o u n i q u e s o l u t i o n s$
	Commented by TheHoneyCat last updated on 08/Sep/23

	$In here are all the possible values :$ $x y z = \frac{x (455 - y) (1135 - y)}{4}$ $and since this is a 3^{rd} degree polynomial$ $all the possible values are R .$
	Commented by deleteduser1 last updated on 08/Sep/23

	$Y e a, n o s i n g l e s o l u t i o n .$
	Answered by Frix last updated on 09/Sep/23

	$2 x = 2025 - 3 y - 4 z$ $2 x = 1135 - y$ $2025 - 3 y - 4 z = 1135 - y$ $y = 445 - 2 z ★$ $2 x = 1135 - y = 690 + 2 z$ $x = 345 + z ★$ $z = c \in C ★$ $x y z = (345 + c) (445 - 2 c) c$
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