Question

.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.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 x represent the number of students in the drama club and y represent the number of students in the yearbook club. System of equations: x= x+ y=64 Question 2 b. How many students are in the drama club? the yearbook club? There are students in the drama club. There are students in the yearbook club.

Answer 1

Answer:

y = 27

Step-by-step explanation:

Let d = number Of drama club members

let y = number of yearbook club members

now you can write two equations, one for the total number of students, and one for the difference between them.

d + y =64

d - y = 10

 

to solve for d, add these two lines together (so as to remove the y’s)

2d + 0y = 74

d = 37

now substitute back into one of the formulas

d+y=64

37+y=64

subtract 37 from each side,

y = 27