Q:

A board game allows players to trade and sell game pieces of equal value. Player 1 traded three cars plus $100 for a house. Player 2 sold two houses and a car for $2300. How much is a car worth?

Accepted Solution

A:
A car is worth $300Step-by-step explanation:A board game allows players to trade and sell game pieces of equal valuePlayer 1 traded three cars plus $100 for a housePlayer 2 sold two houses and a car for $2300We need to find how much the car is worthAssume that the car is worth $x and the house is worth $y∵ Player 1 traded three cars plus $100 for a house∴ 3 x + 100 = y- Subtract 100 from both sides∴ 3 x = y - 100- Subtract y from both sides∴ 3 x - y = - 100 ⇒ (1) ∵ Player 2 sold two houses and a car for $2300∴ x + 2 y = 2300 ⇒ (2)Now we have system of equation to solve itMultiply equation (1) by 2 to eliminate y∵ 6 x - 2 y = - 200 ⇒ (3)- Add equations (2) and (3)∴ 7 x = 2100- Divide both sides by 7∴ x = 300A car is worth $300Learn more:You can learn more about the system of equations in brainly.com/question/6075514#LearnwithBrainly