Solve the System $$\left\{ \begin{array} { r } x + 9 y - z = 4 \\5 x + 45 y - 5 z = 20 \\3 x + 27 y - 3 z = 12\end{array} \right.$$

question 87

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- $$\left\{ \begin{array} { r } x + 9 y - z = 4 \\5 x + 45 y - 5 z = 20 \\3 x + 27 y - 3 z = 12\end{array} \right.$$

• A) no solution or \(\not \supset\)
• B) \(\{ ( 5,3,28 ) \}\)
• C) infinitely many solutions; dependent equations
• D) \(\{ ( 3,5,44 ) \}\)

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Definitions:

Coupon Bond

A type of bond that pays the holder a fixed interest rate (coupon) over its lifetime, and the principal amount is repaid at maturity.

Yield To Maturity

Yield to Maturity (YTM) is the total anticipated return on a bond if the bond is held until it matures, accounting for interest payments and principal repayment.

Par Value

Par value is the face value of a bond or the stock value stated in the corporate charter, which signifies the minimum price that the securities can be issued for.

Coupon Rate

The interest rate on a bond, expressed as a percentage of the bond's face value, paid by the bond issuer to the bondholder.