- A) $( - 2,4,8 )$ B) $\left( - \frac { 1 } { 2 } , \frac { 1 } { 4 } , - \frac { 1 } { 8 } \right)$

question 32

Multiple Choice

$$\text { Let } u \text { represent } \frac { 1 } { x } \text {, } v \text { represent } \frac { 1 } { y } \text {, and } w \text { represent } \frac { 1 } { z } \text {. Solve first for } u , v \text {, and } w \text {. Then solve the system of equations. }$$
- $$\begin{array} { l } \frac { 5 } { x } - \frac { 1 } { y } + \frac { 3 } { z } = - \frac { 25 } { 8 } \\- \frac { 1 } { x } - \frac { 8 } { y } + \frac { 7 } { z } = - \frac { 19 } { 8 } \\\frac { 4 } { x } - \frac { 1 } { y } - \frac { 1 } { z } = - \frac { 17 } { 8 }\end{array}$$

• A) \(( - 2,4,8 )\)
• B) \(\left( - \frac { 1 } { 2 } , \frac { 1 } { 4 } , - \frac { 1 } { 8 } \right)\)
• C) \(( - 2,4 , - 8 )\)
• D) \(\left( - \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 } \right)\)

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Definitions:

Nash Equilibrium

A concept within game theory where no player can benefit by changing their strategy while the other players keep theirs unchanged.

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