Solve the system of linear equations using the Gauss-Jordan elimination method. 
Definitions:
Moral Character
The combination of qualities, traits, and behaviors that determine an individual's ethical and moral principles.
Ethics Theory
A branch of philosophy that deals with what is morally right and wrong, including the conduct and values related to professional practices and personal behaviors.
Burson-Marsteller
A prominent global public relations and communications firm known for its strategic counseling and reputation management services across various industries.
Reputation Management
The practice of monitoring and influencing how a person, organization, or brand is perceived by the public.
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