Respuesta :
Answer:
The system of equations are [tex]x+y=64[/tex] and [tex]x=y+10[/tex]
Step-by-step explanation:
Given : 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.
To find : Write a system of linear equations that represents the situation.
Solution :
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.
i.e. [tex]x+y=64[/tex] ....(1)
The drama club has 10 more students than the yearbook club.
i.e. [tex]x=y+10[/tex] ....(2)
Substitute the value of (2) in (1),
[tex]y+10+y=64[/tex]
[tex]2y=54[/tex]
[tex]y=\frac{54}{2}[/tex]
[tex]y=27[/tex]
Substitute in (2),
[tex]x=27+10[/tex]
[tex]x=37[/tex]
Therefore, the system of equations are [tex]x+y=64[/tex] and [tex]x=y+10[/tex]
