Use the Substitution $u = \frac { 1 } { x } \text { and } v = \frac { 1 } { y }$

question 51

Multiple Choice

Use the substitution $u = \frac { 1 } { x } \text { and } v = \frac { 1 } { y }$ to rewrite the equations in the system in terms of the variables u and
v. Solve the system in terms of u and v. Then back substitute to determine the solution set to the original
system in terms of x and y.
- $$\begin{array} { l } \frac { 2 } { x } + \frac { 1 } { y } = - 4 \\\frac { 2 } { x } - \frac { 3 } { y } = 20\end{array}$$

• A) \(\{ ( 1 , - 6 ) \}\)
• B) \(\left\{ \left( - \frac { 5 } { 2 } , 1 \right) \right\}\)
• C) \(\left\{ \left( 1 , - \frac { 1 } { 6 } \right) \right\}\)
• D) \(\left\{ \left( - \frac { 2 } { 5 } , 1 \right) \right\}\)

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Definitions:

Entitativity

The perception or degree to which a group is seen as being a coherent, distinct, and unified entity.

Ingroup Bias

The inclination to prefer individuals from one's own group rather than from other groups.

Cohesive

Characterized by or causing unity and togetherness among individuals or elements in a group.

Social Facilitation

The tendency for people to perform differently, often better, when in the presence of others than when alone.