Write the System of Linear Equations Represented by the Augmented

question 18

Multiple Choice

Write the system of linear equations represented by the augmented matrix.(Use variables x,y,z,and w. ) $\left[\begin{array}{l}{\begin{array}{lllll}-1 & 0 & 0 &3&\vdots2\end{array}} \\\begin{array}{lllll}-7 & 4 & 0 &0& \vdots8\end{array} \\\begin{array}{lllll}0 & 5 & 3 &-5& \vdots-8\end{array} \\\begin{array}{lllll}0 & 0 & -1 &-9& \vdots9\end{array} \\\end{array}\right]$

• A) \[\left\{ \begin{array} { r l r }
• - x + 3 w & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - y - 9 z & = 9
• \end{array} \right.\] ​
• B) \[\left\{ \begin{array} { r l r }
• - x + 3 z & = 2 \\
• - 7 x + 4 z & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{array} \right.\]
• C) \[\left\{ \begin{array} { r l r }
• - x + 3 y & = & 2 \\
• - 7 x + 4 y & = & 8 \\
• 5 x + 3 y - 5 z & = - 8 \\
• - x - 9 y & = 9
• \end{array} \right.\]
• D) \[\left\{ \begin{aligned}
• - x + 3 w & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{aligned} \right.\]
• E) \[\left\{ \begin{array} { r l r }
• - x + 3 z & = 2 \\
• - 7 x + 4 y & = 8 \\
• 5 y + 3 z - 5 w & = - 8 \\
• - z - 9 w & = 9
• \end{array} \right.\]

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Definitions:

Fishing License

A regulatory or legal authorization required to fish in certain areas, used to manage and conserve fish stocks and control fishing practices.

Income

Sum of money regularly obtained through one's job or investment decisions.

Expenses

Outflows or other using up of assets or incurrence of liabilities during a period from delivering or producing goods, rendering services, or carrying out other activities that constitute the entity’s ongoing major operations.

Quasilinear Preferences

A type of preference where utility is linear in one argument, allowing indifference curves to have the same slope regardless of the level of consumption of other goods.