Use Cramer's Rule to Solve the System of Equations $$\begin{array} { r } x - y + 2 z = 3 \\5 x + z = 3 \\x + 5 y + z = 18\end{array}$$

question 339

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { r } x - y + 2 z = 3 \\5 x + z = 3 \\x + 5 y + z = 18\end{array}$$

• A) Cramer's rule does not apply since \(D = 0 ; \varnothing\)
• B) \(\{ ( 3,3,0 ) \}\)
• C) \(\{ ( 0,3,3 ) \}\)
• D) \(\{ ( 3,0,3 ) \}\)

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Definitions:

Compounded Monthly

Interest is compounded monthly when it is calculated and added to the principal sum of an investment or loan each month.

Annual Interest Rate

The annual interest rate is the percentage increase in money that one earns or pays on an investment or loan over the span of one year.

Compounded Monthly

Refers to the process where interest is added to the principal balance of an investment or loan, and future interest calculations are made on the new total, on a monthly basis.

Annual Interest Rate

The percentage increase in money owed or invested over a year, accounting for the cost of borrowing or the gain on savings.