Real World System of Linear Equations to Determine Cost | 8.EE.C.8

The video tutorial explains how to solve a real-world problem using a system of linear equations. Two friends, Glenn and Jim, purchase a game system and video games, and the task is to determine the cost of one game system. The tutorial walks through setting up equations based on their purchases, solving the system of equations, and finding the cost of the game system and video games. The solution involves using variables to represent unknown costs, subtracting equations to eliminate variables, and solving for the remaining unknowns. The final result reveals the cost of one game system.

What is the main objective of the problem discussed in the video?

• To calculate the total number of items bought.

• To find the cost of one game system.

• To find the cost of one video game.

• To determine the total cost of all purchases.

What equation represents Glenn's purchase?

• G + 4V = 410

• G + 3V = 375

• G + 2V = 300

• G + V = 100

Which variable is used to represent the cost of one video game?

• Y

• X

• V

• G

What is the result of subtracting the two equations to eliminate G?

• V = -35

• -V = 35

• -V = -35

• V = 35

How much does one video game cost?

• $45

• $40

• $35

• $30

What is the final step to find the cost of the game system?

• Divide the total cost by the number of items.

• Multiply the cost of video games by the number of games.

• Subtract the cost of video games from the total.

• Add the cost of video games to the total.

What is the cost of one game system?

• $280

• $250

• $260

• $270