Write the Augmented Matrix for the System $$\left\{ \begin{array} { r } 8 x - 2 z = 60 \\9 y + 7 z = 33 \\2 x - 2 y + 9 z = 74\end{array} \right.$$

question 207

Multiple Choice

Write the augmented matrix for the system.
- $$\left\{ \begin{array} { r } 8 x - 2 z = 60 \\9 y + 7 z = 33 \\2 x - 2 y + 9 z = 74\end{array} \right.$$

• A) \(\left[ \begin{array} { r r r | r } 8 & - 2 & 0 & 60 \\ 9 & 7 & 0 & 33 \\ 2 & - 2 & 9 & 74 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r | r } 8 & 0 & - 2 \\ 0 & 9 & 7 \\ 2 & - 2 & 9 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 8 & 0 & 2 & 60 \\ 0 & 9 & - 2 & 33 \\ - 2 & 7 & 9 & 74 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 8 & 0 & - 2 & 60 \\ 0 & 9 & 7 & 33 \\ 2 & - 2 & 9 & 74 \end{array} \right]\)

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Definitions:

Book Value

The net value of a company's assets as recorded on the balance sheet, calculated by subtracting liabilities from the total value of assets.

Commercial Substance

Commercial substance refers to a transaction that causes a significant change in the cash flows of a company or significantly alters the entity's operations.

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The credit a buyer receives when they trade in an old asset (like a car) towards the purchase of a new asset, reducing the price of the new purchase.

Book Value

The net value of a company's assets as listed on the balance sheet, calculated by subtracting liabilities from total assets.