Write the System of Linear Equations Represented by the Augmented

question 96

Multiple Choice

Write the system of linear equations represented by the augmented matrix below. Use variables x , y , z , v , and w.
$\left[ \begin{array} { c c c c : c } - 4 & - 6 & - 7 & 7 & - 9 \\- 4 & - 3 & - 3 & - 7 & 9 \\- 2 & - 1 & - 5 & 7 & - 2 \\- 7 & - 7 & - 7 & - 7 & 3\end{array} \right]$

• A) \(\left\{ \begin{array} { l }
• - 4 x - 6 y - 7 z + 7 w = - 9 \\
• - 4 x - 3 y - 3 z - 7 w = 9 \\
• - 2 x - y - 5 z + 7 w = - 2 \\
• - 7 x - 7 y - 7 z - 7 w = 3
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { l }
• - 4 x - 6 y - 7 z + 7 w = - 16 \\
• - 4 x - 3 y - 3 z - 7 w = 6 \\
• - 2 x - y - 5 z + 7 w = - 7 \\
• - 7 x - 7 y - 7 z - 7 w = 10
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { r }
• - 4 x - 6 y - 7 z + 7 w - 9 = 0 \\
• - 4 x - 3 y - 3 z - 7 w + 9 = 0 \\
• - 2 x - y - 5 z + 7 w - 2 = 0 \\
• - 7 x - 7 y - 7 z - 7 w + 3 = 0
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { l }
• - 4 x - 6 y - 7 z = - 9 \\
• - 4 x - 3 y - 3 z = 9 \\
• - 2 x - y - 5 z = - 2 \\
• - 7 x - 7 y - 7 z = 3
• \end{array} \right.\)
• E) \(\left\{ \begin{array} { r }
• - 4 x - 6 y - 7 z + 7 w = 0 \\
• - 4 x - 3 y - 3 z - 7 w = 0 \\
• - 2 x - y - 5 z + 7 w = 0 \\
• - 7 x - 7 y - 7 z - 7 w = 0
• \end{array} \right.\)

---

Definitions:

Equal Withdrawals

A term typically used in finance to describe a method of distributing assets or funds evenly over a set period of time.

Investment Plan

A financial strategy plotted for making investments in various assets with the goal of achieving specific financial objectives.

Inherited Annuity

A financial product received as part of an inheritance, providing periodic payments that were initially purchased by a deceased individual.

Equal Annual Amounts

A method of loan repayment or investment that involves paying or receiving the same amount of money each year.