Write the Determinant $D_{y}$ For the System $\left\{ \begin{array} { l } 8 x + 3 y + 5 z = 2 \\4 x - 3 y - 8 z = - 5 \\9 x + 6 y + 8 z = 5\end{array} \right.$

question 163

Multiple Choice

Write the determinant $D_{y}$ for the system $\left\{ \begin{array} { l } 8 x + 3 y + 5 z = 2 \\4 x - 3 y - 8 z = - 5 \\9 x + 6 y + 8 z = 5\end{array} \right.$

• A) \(\left| \begin{array} { c c c }
• 8 & 3 & 5 \\
• 4 & - 3 & - 8 \\
• 9 & 6 & 8
• \end{array} \right|\)
• B) \(\left| \begin{array} { c c c }
• 2 & 3 & 5 \\
• - 5 & - 3 & - 8 \\
• 5 & 6 & 8
• \end{array} \right|\)
• C) \(\left| \begin{array} { c c c }
• 8 & 3 & 2 \\
• 4 & - 3 & - 5 \\
• 9 & 6 & 5
• \end{array} \right|\)
• D) \(\left| \begin{array} { c c c }
• 8 & 2 & 5 \\
• 4 & - 5 & - 8 \\
• 9 & 5 & 8
• \end{array} \right|\)

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Definitions:

Semi-annually

Occurring twice a year, typically every six months.

Quarterly Payments

Payments made four times a year, typically used in the context of dividends or loan repayments.

Debt

An amount of money borrowed by one party from another, which needs to be repaid usually with interest.

Compounded Annually

Refers to the process where the interest on an investment or loan is calculated annually and added to the principal, so that the balance doesn't merely grow by the initial rate of interest but by the interest on the interest as well.