Write the System of Linear Equations Represented by the Augmented

question 93

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables. Then use back-substitution to find the solution.
- $\left[ \begin{array} { r r r | r } 1 & \frac { 3 } { 2 } & 1 & \frac { 1 } { 2 } \\ 0 & 1 & - \frac { 1 } { 2 } & - 8 \\ 0 & 0 & 1 & 4 \end{array} \right]$

• A) \(\left\{ \left( \frac { 11 } { 2 } , - 6,4 \right) \right\}\)
• B) \(\left\{ \left( \frac { 1 } { 2 } , - 8,4 \right) \right\}\)
• C) \(\left\{ \left( - 3 , - \frac { 17 } { 2 } , 3 \right) \right\}\)
• D) \(\left\{ \left( - \frac { 21 } { 2 } , - 6,4 \right) \right\}\)

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Definitions:

Declared

Often refers to the official announcement by a company's board of directors of a dividend or other corporate action.

Accumulated Depreciation

The total amount of depreciation expense that has been recorded against a fixed asset since it was put into use.

Original Cost

The initial monetary value of an asset, including the purchase price and any related acquisition costs, but before depreciation or amortization.

Decrease

A reduction or decline in quantity, size, or overall value of an item or entity.