Determine Whether the Two Systems of Linear Equations Yield the Same

question 37

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices. $\left\{ \begin{aligned}x - 8 y - 8 z & = - 36 \\y + 2 z & = 7 \\z & = 2\end{aligned} \right.$ $\left\{ \begin{aligned}x - 7 y + 5 z & = - 7 \\y + 2 z & = 7 \\z & = 2\end{aligned} \right.$

• A)x = 4, y = 3, z = 2
• B)x = -4, y = -3, z = 2
• C)x = -3, y = 2, z = 4
• D)x = 3, y = 2, z = 4
• E)The systems yield different solutions.

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Definitions:

Absorption Costing

A pricing strategy that incorporates all expenses associated with production - including raw materials, workforce wages, and both fluctuating and constant factory overheads - into a product's cost.

Period Cost

Expenses directly tied to time that are not directly tied to the production process, such as administrative expenses.

Variable Costing

A costing method that includes only variable production costs (direct materials, direct labor, and variable manufacturing overhead) in product costs.

Period Cost

Expenses that are not directly tied to the production process and are expensed in the period they are incurred, such as selling and administrative expenses.