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

---

Definitions:

Interest Rates

The cost of borrowing money or the rate of return on investments, typically expressed as a percentage of the principal.

Loanable Funds

The money available for lending and borrowing in the financial markets.

Price Floor

A government or group-imposed price control or limit on how low a price can be charged for a product, aiming to protect producers.

Price Ceiling

A legally established maximum price that can be charged for a good or service, often set below the equilibrium price to keep essential goods affordable.