Solve the System by Using Any Method $$\begin{array} { l } 3 ( 4 x - 3 ) = - 15 y - 1 \\\frac { 2 } { 3 } x + \frac { 5 } { 6 } y = - \frac { 1 } { 6 }\end{array}$$

question 168

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } 3 ( 4 x - 3 ) = - 15 y - 1 \\\frac { 2 } { 3 } x + \frac { 5 } { 6 } y = - \frac { 1 } { 6 }\end{array}$$

• A) \(\left\{ \left( 2 , - \frac { 16 } { 15 } \right) \right\}\)
• B) No solution; \{ \} ; inconsistent system
• C) \(\left\{ \left( 0 , - \frac { 1 } { 5 } \right) \right\}\)
• D) \(\left\{ \left( - 1 , \frac { 4 } { 3 } \right) \right\}\)

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Definitions:

Straight-Line Method

A depreciation technique that allocates an equal portion of an asset’s initial cost to each year of its useful life.

Book Value

The net value of an asset calculated as total assets minus total liabilities, shown on the balance sheet.

Units-Of-Production Method

A depreciation method that allocates the cost of an asset over its useful life based on the amount of production or use during the period.

Depreciation

The systematic allocation of the cost of a tangible asset over its useful life, reflecting wear and tear, obsolescence, or other declines in value.