Write the system of linear equations as a matrix equation AX = B, and use Gauss-Jordan elimination on the augmented matrix 
to solve for the matrix X. Show all your work. 
Definitions:
Swallowing
The process of making food or liquid move from the mouth through the throat and into the esophagus; it's a crucial part of digestion.
Vomiting
The forceful expulsion of stomach contents through the mouth, a reflex act triggered by various conditions.
Medulla
The innermost part or core of an organ, such as the medulla of the brain (responsible for autonomic functions) or the medulla of the kidney (involved in urine concentration).
Naloxone
A medication used to block the effects of opioids, especially in overdose, by quickly reversing respiratory depression.
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