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.

Question 1
Part A
Write an expression for each player’s yards gained in terms of y, the average number of yards gained per play during the game.

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

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

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