Write the System of Linear Equations Represented by the Augmented $x , y$

question 15

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables $x , y$ , and $z$ .)
$$\left[ \begin{array} { c c c : c } 1 & 4 & - 3 & - 23 \\0 & 1 & 4 & 19 \\0 & 0 & 1 & 5\end{array} \right]$$

• A) \(x = - 44 , y = 3 , z = - 3\)
• B) \(x = - 1 , y = - 4 , z = 5\)
• C) \(x = - 4 , y = 1 , z = - 5\)
• D) \(x = - 4 , y = - 1 , z = 5\)
• E) \(x = 1 , y = 5 , z = 4\)

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Definitions:

Default Risk

The risk that a borrower will not make the required payments on their debt obligations.

Maturity Risk

The risk associated with the changing value of securities due to the time remaining until their maturity date.

Yield to Maturity

The total return anticipated on a bond if it is held until the maturity date, factoring in the current price, par value, coupon yield, and time to maturity.

Coupon Rate

Each year, the interest rate a bond yields, expressed in terms of the percentage of its face value.