There were 35 people attending the Little League baseball game. The difference between the number of women and men at the game was 9.

Let x represent the number of women and y represent the number of men. The following system of equations represents this situation:

x+y=35

x-y=9

How many women and men were at the game?

(Note: I am solving the system of equations using the elimination method)

1. Cancel out a variable and add the polynomials

x + y = 35

x - y = 9

2x = 44

2 2

x = 22

2. Substitute and solve for the other variable

(22) + y = 35

22 + y = 35

-22 - 22

y = 13

3. Substitute Ordered Pairs (Optional)

(22) + (13) = 35

35 = 35

22 women and 13 men were at the game.