Solve the System by the Substitution Method $$\begin{array} { l } x + y = 10 \\y = x ^ { 2 } - 8 x + 16\end{array}$$

question 142

Multiple Choice

Solve the system by the substitution method.
- $$\begin{array} { l } x + y = 10 \\y = x ^ { 2 } - 8 x + 16\end{array}$$

• A) \(\{ ( 6,4 ) , ( 1,9 ) \}\)
• B) \(\{ ( - 6,16 ) , ( - 1,11 ) \}\)
• C) \(\{ ( 4,6 ) \}\)
• D) \(\{ ( 6,16 ) , ( 1,9 ) \}\)

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Definitions:

Extensive Form

In game theory, a detailed representation of a game that includes the order of players' moves, their choices at every node, and the outcomes resulting from each combination of choices, displayed as a decision tree.

Simultaneous Game

A strategic situation where each player must make their decisions at the same time, without knowledge of the other players' choices.

Positive-Sum Game

A situation in which all participants can gain or benefit in some way, contrasting with a zero-sum game.

Zero-Sum Game

A situation in economics or game theory where one party's gain is precisely balanced by another party's loss.