Solve the system of linear equations using the Gauss-Jordan elimination method. 
Definitions:
Vested Options
Stock options granted to an employee that the employee has the right to exercise, contingent upon fulfilling certain conditions such as employment duration.
Income
The financial gain received by an individual or a business in exchange for providing goods, rendering services, or through investing capital.
Retained Earnings
The part of a company's net earnings not paid out as dividends but kept within the company.
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