Question

There are a total of 64 students in a drama club and a yearbook club. The drama club has 14 more students than the yearbook club.a. Write a system of linear equations that represents this 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

Answer:

39 students in the drama club, 25 in the yearbook club.

Explanation:

X=number of students in the drama club
Y=number of students in the yearbook club

X+Y=64
X−14=y
Subtract the equations
X−X+Y+14=64−Y
Y+14=64−Y
Subtract 14, add Y
Y+Y+14−14=64−14−Y+Y
2Y=50
Divide by 2
Y=25
X+25=64
Subract 25
X=64−25
X=39