Solve the System by the Method of Your Choice $$\frac { x } { 4 } + \frac { y } { 4 } = 0$$

question 132

Multiple Choice

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
- $$\frac { x } { 4 } + \frac { y } { 4 } = 0$$
$x - y = - 12$

• A) \(\{ ( x , y ) \mid x - y = - 12 \}\)
• B) \(\{ ( - 6,6 ) \}\)
• C) \(\{ ( - 7,7 ) \}\)
• D) \(\varnothing\)

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Definitions:

Average Number

The arithmetic mean or central value of a set of numbers, calculated by dividing the sum of the values in the set by the number of values.

Queue

A sequence of items or people waiting to be processed, often in a first-come, first-served basis in operations research and computer science.

Exponential Distribution

A probability distribution that describes the time between events in a process where events occur continuously and independently at a constant average rate.

Service Times

The duration or periods required to complete specific tasks, especially in the context of customer service or manufacturing.