Solve the System of Equations $$\left\{ \begin{array} { r } x + 3 y - 2 z = 1 \\2 x + 4 y + z = 4 \\2 x + 6 y - z = 2\end{array} \right.$$

question 39

Multiple Choice

Solve the system of equations $$\left\{ \begin{array} { r } x + 3 y - 2 z = 1 \\2 x + 4 y + z = 4 \\2 x + 6 y - z = 2\end{array} \right.$$ by converting to a matrix equation and using its inverse coefficient matrix $\left[ \begin{array} { c c c } \frac { 3 } { 3 } & \frac { 3 } { 2 } & - \frac { 11 } { 6 } \\- \frac { 2 } { 3 } & - \frac { 1 } { 2 } & \frac { 3 } { 6 } \\- \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 }\end{array} \right]$

• A) \(( - 14 , - 3,0 )\)
• B) \(( 2,3,0 )\)
• C) \(( - 8,3,0 )\)
• D) \(( - 8,0,1 )\)
• E) \(( - 6 , - 3,0 )\)

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Definitions:

Overapplied Manufacturing Overhead

A scenario in which the overhead assigned to goods or services surpasses the actual costs, necessitating adjustments in financial accounting.

Cost of Goods Sold

Cost of goods sold represents the direct costs attributable to the production of the goods sold by a company, including materials and labor.

Finished Goods Inventory

Finished and market-ready products still awaiting purchase.

Cost of Goods Available for Sale

The total cost of a company's inventory at the beginning of the period plus the cost of any goods produced or purchased during the period.