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:

Maslow's Theories

A hierarchy of human needs theory proposed by Abraham Maslow, suggesting that people are motivated by satisfying specific needs in a predetermined order.

McClelland's Theories

McClelland's Theories focus on human motivation, particularly the needs for achievement, power, and affiliation and their impact on human behavior.

Herzberg's Theories

A motivational theory, which distinguishes between hygiene factors that can prevent dissatisfaction, and motivators that can lead to satisfaction in the workplace.

Employee Engagement

The level of enthusiasm and dedication a worker feels towards their job, characterized by emotional attachment and willingness to go above and beyond.