Solve the System, If Possible, by Using Cramer's Rule $\begin{array} { l } - 9 x + 27 y + 9 z = 7 \\18 x + 45 y = 14 \\27 x + 9 y - 18 z = - 7\end{array}$

question 6

Multiple Choice

Solve the system, if possible, by using Cramer's rule. If Cramer's rule does not apply, solve the system by
using another method.
- $\begin{array} { l } - 9 x + 27 y + 9 z = 7 \\18 x + 45 y = 14 \\27 x + 9 y - 18 z = - 7\end{array}$

• A){ }
• B) \(\left\{ \left( - \frac { 7 } { 9 } , 0 , - \frac { 14 } { 9 } \right) \right\}\)
• C) \(\left\{ \left( \frac { 7 } { 9 } , 0 , \frac { 14 } { 9 } \right) \right\}\)
• D) \(\left\{ \left( - \frac { 7 } { 9 } + z , 0 , z \mid z \right. \right.\) is any real number \(\}\)

---

Definitions:

Effective Annual Rate

The annual interest rate that accounts for compounding over a given period, providing a true reflection of financial costs.

Compounded Quarterly

Interest calculation method where the interest is added to the principal four times a year, enhancing the effect of compounding over time.

Effective Annual Rate

The interest rate on an investment or loan, calculated annually, that takes into account the effects of compounding.

Simple Interest

Interest calculated only on the original principal and paid only at the maturity date.