Solve the System of Linear Equations by the Method of Elimination.Find

question 213

Multiple Choice

Solve the system of linear equations by the method of elimination.Find (x,y) and check your solution algebraically. $\left\{ \begin{array} { l } 2 x + 7 y = \frac { 112 } { 9 } \\7 x + 8 y = \frac { 62 } { 9 }\end{array} \right.$

• A) \(\left( \frac { - 14 } { 9 } , \frac { 20 } { 9 } \right)\)
• B) \(\left( \frac { 20 } { 9 } , \frac { - 14 } { 9 } \right)\)
• C) \(\left( \frac { 20 } { 9 } , \frac { 14 } { 9 } \right)\)
• D) \(\left( \frac { 14 } { 9 } , \frac { 20 } { 9 } \right)\)
• E) \(\left( \frac { 14 } { 9 } , \frac { - 20 } { 9 } \right)\)

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Definitions:

Discount Rate

The interest rate used in discounted cash flow analysis to calculate the present value of future cash flows.

Net Present Value

The variance between cash inflows' and outflows' current values during a certain period.

Discount Factor(s)

A numerical factor used to calculate the present value of future cash flows, reflecting the time value of money.

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal installments, reflecting the asset’s gradual decrease in value.