Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { r } - 2 x - 6 y - z = - 18 \\x - 7 y + 8 z = 59 \\- 4 x + y + z = 1\end{array}$$

question 7

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { r } - 2 x - 6 y - z = - 18 \\x - 7 y + 8 z = 59 \\- 4 x + y + z = 1\end{array}$$

• A) \(\{ ( 2 , - 1 , - 8 ) \}\)
• B) \(\{ ( 1,8,1 ) \}\)
• C) \(\{ ( 2,1,8 ) \}\)
• D) \(\{ ( 3 , - 1,8 ) \}\)

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Definitions:

Loanable Funds

A term in economics referring to the market where savers supply funds for loans to borrowers, influenced by interest rates.

Induces

Induces means to lead or move someone to take action, often by persuasion or influence.

National Saving

The total amount of savings in a country, equal to the sum of private and public savings, representing the portion of national income not used for consumption or government spending.

Consumption

Consumption involves the use of goods and services by households, constituting one of the main components of aggregate demand in an economy.