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andreyandreev [35.5K]
2 years ago
9

Item 8 Question 1 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. System of equations: x=x= y+10 x+x+ y=64
Mathematics
1 answer:
eimsori [14]2 years ago
6 0
Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
<span>y = 27

</span>x = y + 10
x = 27 + 10
<span>x = 37 

</span>To check:

x + y = 64
37 + 27 = 64
64 = 64
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