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:

Northwest-Corner Method

A technique used in transportation and logistics to find an initial feasible solution for the Transportation Problem by starting at the northwest corner of a cost matrix and moving south and east to allocate shipments.

Source A

A specific origin from which materials, services, or information are obtained.

Source B

This does not appear to represent a standard key term within common academic or technical contexts. Therefore, NO.

Capacity

The maximum amount that something can contain or produce, often used in reference to production and manufacturing facilities, systems, and services.