Solve the system of equations below by the Gaussian elimination method: 
Definitions:
HPV Immunization
A vaccine given to protect against the Human Papillomavirus, which can lead to cervical cancer, other cancers, and genital warts.
Healthcare Policy
Regulations, plans, or actions undertaken to achieve specific health care goals within a society.
Health Professional Group
A collective term for individuals who are trained to provide healthcare services, such as doctors, nurses, and therapists.
Political Involvement
Participation in activities or actions aimed at influencing government policy or leadership elections.
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