The Matrix Associated with the Solution to a System of Linear

question 186

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $\left[ \begin{array} { r r r | r } 1 & 0 & 0 & - 5 \\ 0 & 1 & 0 & 9 \\ 0 & 0 & 1 & 9 \end{array} \right]$

• A) \(x = - 5 , y = 0 , z = 9\)
• B) \(x = 9 , y = 9 , z = - 5\)
• C) \(x = - 5 , y = 9 , z = 9\)
• D) \(x = 0 , y = 9 , z = - 5\)

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Definitions:

Creditors

Individuals or institutions to whom money is owed by a debtor or borrower.

Business

Organizational entities that are involved in the trade of goods, services, or both to consumers, with the primary purpose of earning profits.

Owners' Equity

The residual interest in the assets of an entity after deducting liabilities, essentially the net worth belonging to the owners.

Assets

Resources with economic value that an individual, corporation, or country owns or controls with the expectation that it will provide future benefit.