Find a Solution of the System of Equations and Verify $\left\{ \begin{array} { r } - 8 x + 3 y = 20 \\3 x - 5 y = - 9\end{array} \right.$

question 73

Multiple Choice

Find a solution of the system of equations and verify your result using matrix multiplication.
$\left\{ \begin{array} { r } - 8 x + 3 y = 20 \\3 x - 5 y = - 9\end{array} \right.$

• A) \(\left[ \begin{array} { r } - \frac { 3 } { 8 } \\ \frac { 17 } { 3 } \end{array} \right]\)
• B) \(\left[ \begin{array} { r } - \frac { 65 } { 38 } \\ \frac { 40 } { 19 } \end{array} \right]\)
• C) \(\left[ \begin{array} { r } - \frac { 73 } { 49 } \\ \frac { 132 } { 49 } \end{array} \right]\)
• D) \(\left[ \begin{array} { r } - \frac { 73 } { 31 } \\ \frac { 12 } { 31 } \end{array} \right]\)
• E) \(\left[ \begin{array} { r } - \frac { 31 } { 73 } \\ \frac { 31 } { 12 } \end{array} \right]\)

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Definitions:

Scrap Value

An asset's anticipated resale value once it has surpassed its period of utility.

Straight-Line Method

A method of calculating depreciation of an asset by evenly distributing its cost over the useful life of the asset.

Scrap Value

The estimated resale value of an asset at the end of its useful life, typically considered as salvage value.

Double-Declining-Balance

A method of accelerated depreciation which doubles the regular depreciation rate, reducing the value of an asset more quickly in its early years.