Use Matrices to Solve the System of Equations (If Possible)

question 46

Multiple Choice

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

• A) x = 5, y = -1
• B) x = 1, y = -5
• C) x = -1, y = 5
• D) x = 5, y = 1
• E) no solution

---

Definitions:

Payoff Matrix

A table that shows the potential outcomes of a strategic decision made by two or more players, highlighting the benefits or losses based on each player's decisions.

Dominant Strategy

A strategy in game theory that is best for a player, regardless of the strategies chosen by other players.

Price High

Typically refers to a situation where the price of a good or service is higher than usual, which can result from high demand, low supply, or other market conditions.

Positive-Sum Game

A situation in economic transactions where all participants can benefit, or the sum of the gains and losses is positive.