Use an Inverse Matrix to Solve (If Possible) the System $$\left\{ \begin{array} { l } 18 x + 12 y = 14 \\30 x + 24 y = 24\end{array} \right.$$

question 229

Multiple Choice

Use an inverse matrix to solve (if possible) the system of linear equations. $$\left\{ \begin{array} { l } 18 x + 12 y = 14 \\30 x + 24 y = 24\end{array} \right.$$

• A) ( \(\frac { 5 } { 6 }\) , \(\frac { 1 } { 6 }\) )
• B) ( 4, \(\frac { 1 } { 6 }\) )
• C) ( \(\frac { 2 } { 3 }\) , \(\frac { 1 } { 6 }\) )
• D) ( \(\frac { 2 } { 3 }\) , \(\frac { 1 } { 4 }\) )
• E) ( \(\frac { 2 } { 3 }\) , 3 )

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Definitions:

Depreciation Method

A systematic approach used to allocate the cost of a tangible asset over its useful life, such as straight-line or declining balance methods.

Double-Declining-Balance

A method of accelerated depreciation which doubles the straight-line depreciation rate.

Straight-Line Rate

The straight-line rate is a method of depreciation that evenly spreads the cost of an asset over its useful life.

Capital Expenditures

Capital invested by a business to purchase or improve tangible assets, like real estate, factories, or machinery.