The Augmented Matrix Is Given for a System of Equations $$\left[ \begin{array} { r r r r r r } 1 & 5 & 8 & - 1 & 2 & 5 \\0 & 0 & 0 & - 4 & 3 & 4 \\0 & 0 & 0 & 0 & - 2 & 8\end{array} \right]$$

question 74

Multiple Choice

The augmented matrix is given for a system of equations. If the system is consistent, find the general solution.
Otherwise state that there is no solution.
- $$\left[ \begin{array} { r r r r r r } 1 & 5 & 8 & - 1 & 2 & 5 \\0 & 0 & 0 & - 4 & 3 & 4 \\0 & 0 & 0 & 0 & - 2 & 8\end{array} \right]$$

• A) \(x _ { 1 } = - 5 x _ { 2 } - 8 x _ { 3 } + 9\)
• \(x _ { 2 }\) is free
• \(x _ { 3 } = - 4\)
• \(x _ { 4 } = \frac { 3 } { 4 } x _ { 5 } - 1\)
• \[x _ { 5 } = - 4\]
• B) No solution
• C) \(x _ { 1 } = - 5 x _ { 2 } - 8 x _ { 3 } + x _ { 4 } - 2 x _ { 5 } + 5\)
• \(x _ { 2 }\) is free
• \(x _ { 3 }\) is free
• \[x _ { 4 } = \frac { 3 } { 4 } x _ { 5 } - 1\]
• \(x _ { 5 } = - 4\)
• D) \(x _ { 1 } = - 5 x _ { 2 } - 8 x _ { 3 } + 9\)
• \(x _ { 2 }\) is free
• \(x _ { 3 }\) is free
• \(x _ { 4 } = - 4\)
• \(x _ { 5 } = - 4\)

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Definitions:

Journal Entries

Recorded transactions in the accounting system that show the effects of financial events on the accounts of a company.

Investment Account

An account held at a financial institution that contains securities, cash, and other investment vehicles.

Related Income

Income that arises from transactions or relationships between entities that have a special connection or are part of the same group.

Revaluation

An adjustment of the book value of an asset or currency to its fair market value, often affecting the financial statements of a company.