Question

There are a total of 64 students in a filmmaking club and a yearbook club. The filmmaking club has 14 more students than the yearbook club. A. Write a system of linear equations that represents this situation. B. How many students are in the filmmaking club? the yearbook club?

Answer 1

Explanation:

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