Solve the System by the Method of Your Choice $$\begin{array} { l } 5 x + y = 4 \\2 y = 8 - 10 x\end{array}$$

question 32

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.
- $$\begin{array} { l } 5 x + y = 4 \\2 y = 8 - 10 x\end{array}$$

• A) \(\left\{ \left[ \frac { 4 } { 5 } , 0 \right) \right\}\)
• B) \(\{ ( 0,4 ) \}\)
• C) \(\{ ( x , y ) \mid 5 x + y = 4 \}\)
• D) \(\varnothing\)

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Definitions:

Self-Selected Sample

A sample where only the people most interested in the poll or survey participate.

Interested in Poll

The act of showing curiosity or concern about the results or methodology of a survey designed to gauge public opinion or preferences.

Inductive Arguments

A type of reasoning that draws general conclusions from specific observations or instances.

Categorical Syllogisms

A form of deductive reasoning consisting of three parts: a major premise, a minor premise, and a conclusion, each of which may be categorized by their statements.