Answer:
y = x + 12
y + x = 52
x = 20
y = 32
Step-by-step explanation:
Make a system of linear equations using x and y to represent the players on the soccer and field hockey team respectively:
y = x + 12 (this shows how many players are on the hockey team)
y + x = 52 (this shows that there are 52 players total from both teams)
Solve for the variables using either elimination or substitution:
y + x = 52
(x + 12) + x = 52
2x + 12 = 52
2x = 40
x = 20
Then plug x into the first equation:
y = x + 12
y = (20) + 12
y = 20 + 12
y = 32
