Question

Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of yards gained per play during the game. Howard runs for 1 more than 5 times the average number of yards gained per play during the game. Vincent runs for 5 more than 4 times the average number of yards gained per play during the game.

In this activity, you will write equations to describe this situation and determine whether the equations have one solution, no solution, or infinitely many solutions.

Write an equation to find the average number of yards gained per play if Howard and Vincent gained the same number of yards.

Answer 1

5y - 1 = 5y + 1

(Braydon = Howard)

Answer 2

Answer: They are parallel so there is no solution.

Explanation:

Brayden- y=5x-1 or y-5x= -1

Howard- y=5x+1 or y-5x= 1

Vincent- y=4x+5 or y-4x= 5

In summary, they are all parallel so there is no solution.