Solve the System of Linear Equations $$\left\{ \begin{aligned}x + y + z & = - 6 \\x - 6 y - 7 z & = 76 \\8 y - 6 z & = - 18\end{aligned} \right.$$

question 32

Multiple Choice

Solve the system of linear equations.
$$\left\{ \begin{aligned}x + y + z & = - 6 \\x - 6 y - 7 z & = 76 \\8 y - 6 z & = - 18\end{aligned} \right.$$

• A) \(( 4 , - 7 , - 3 )\)
• B) \(( - 7,4 , - 3 )\)
• C) \(( 5 , - 6 , - 5 )\)
• D) \(( - 6,5 , - 5 )\)
• E) \(( 8 , - 8 , - 6 )\)

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Definitions:

Predetermined Overhead Rate

A rate used to allocate manufacturing overhead costs to individual units of production, based on estimated costs and activity levels.

Manufacturing Departments

The sections of a manufacturing organization dedicated to specific production activities or processes.

Total Job Cost

The complete cost associated with a specific job or project, including materials, labor, and overhead.

Predetermined Overhead Rate

The rate used to allocate manufacturing overhead to individual products or job orders, calculated before the period begins based on estimated costs and activity levels.