Question

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
a. Write a system of linear equations that represents this situation. Let xx represent the number of students in the drama club and yy represent the number of students in the yearbook club.

Answer 1

Drama+yearbook=64
drama=10 more than yearbook
drama=10+yearbook

the equations are
x+y=64
x=10+y

solve
subsitue 10+y for x
10+y+y=64
10+2y=64
minus 10 both sides
2y=54
divide both sides by 2
y=27

subsitute back
x=10+y
x=10+27
x=37


37 people in yearbook club
27 in drama club