Find the Complete Solution of the System $\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.$

question 40

Multiple Choice

Find the complete solution of the system. $\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.$

• A) \(x = \frac { 11 } { 3 }\), \(y = \frac { 1 } { 3 }\), \(z = \frac { 1 } { 3 }\)
• B) \(x = \frac { 11 } { 3 }\), \(y = \frac { 4 } { 3 }\), \(z = \frac { 1 } { 3 }\)
• C) \(x = \frac { 11 } { 3 }\), \(y = \frac { 1 } { 3 }\), \(z = - \frac { 2 } { 3 }\)
• D) \(x = 3\), \(y = 1\), \(z = 11\)
• E) no solution

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Definitions:

Variable Costing

A costing method that includes only variable production costs in the cost of goods sold and treats fixed overhead as a period expense.

Absorption Costing

A cost calculation method in accounting that adds all expenses related to manufacturing—direct materials, direct labor, and both fixed and variable overhead—into the final cost of a product.

Directly Traced

Refers to costs or expenses that can be directly linked to a specific product, service, or department.

Product Costs

Expenses directly incurred from the manufacturing of products, including direct materials, direct labor, and manufacturing overhead.