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Find the Solution or Solutions, If Any Exist, to the System

question 153

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Find the solution or solutions, if any exist, to the system.
- {7x+7y+z=1x+8y+8z=89x+y+9z=9\left\{ \begin{array} { l } 7 x + 7 y + z = 1 \\x + 8 y + 8 z = 8 \\9 x + y + 9 z = 9\end{array} \right.


Definitions:

Sleeping Beauty Syndrome

A rare condition in which the sufferer has recurring bouts of excessive sleeping.

Lucid Dreaming

A state of dreaming in which the dreamer is aware that they are dreaming and often can control the dream's environment and narrative.

Narcolepsy

A chronic neurological disorder characterized by excessive daytime sleepiness, sudden muscle weakness (cataplexy), and fragmented nighttime sleep.

Hypersomnia

A condition marked by excessive sleepiness during the day or prolonged night-time sleep.

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