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. Write a system of linear equations that represent the situation. Let X represent the number of students in the drama club and Y represent the number of students in the yearbook club

Answer 1

The solution is (37,27). This means that there are 37 students in the drama club and 27 students in the yearbook club.

Answer 2

x=students in drama club 
y= yearbook club.

By the problem,
x=y +10
y+y+10=64
2y=54
y=27 yearbook club
x= 37 drama club (as drama club has 10 more students than yearbook club)