Find All Values of X Satisfying the Given Conditions $y _ { 1 } = x , y _ { 2 } = 9 + x , y _ { 3 } = 3 ( x - 5 ) + 10 x$

question 164

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = x , y _ { 2 } = 9 + x , y _ { 3 } = 3 ( x - 5 ) + 10 x$ , and the sum of 8 times $y _ { 1 }$ and 4 times $y _ { 2 }$ equals y3.

• A) \(\{ - 14 \}\)
• B) \(\{ 14 \}\)
• C) \(\{ - 51 \}\)
• D) \(\{ 51 \}\)

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Definitions:

Band Society

A small, loosely organized group of hunter-gatherers who work together and share resources, usually consisting of 20-50 individuals.

State Society

A complex social organization characterized by a formal governmental structure and socioeconomic stratification.

Cultural Controls

Means of ensuring that individuals or groups conduct themselves in ways that support and maintain the established cultural order. They may be internal (ingrained sentiments about what is proper and what is not) or external (such as sanctions).

Leader of the Band

A term metaphorically used to describe the person who provides direction and guidance to a group or team, much like a conductor in a musical band.