Solve the following set of equations using the Gaussian method: 
Definitions:
Dental Health
The overall health and hygiene of the mouth, including teeth, gums, and the prevention of dental diseases.
Positively Correlated
A relationship between two variables where they move in the same direction, meaning as one variable increases, the other also increases.
Negatively Correlated
A relationship between two variables in which one variable increases as the other decreases, or vice versa.
Muggings
Acts of attacking and robbing someone in a public place.
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