Answer:
The system of linear equations are [tex]y=5+x[/tex] and [tex]x+y=25[/tex]
Step-by-step explanation:
Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.
(50 students picked, 25 picked dinner the rest picked lunch and breakfast)
To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?
Solution :
The number of students who chose breakfast be 'x'
The number of students who chose lunch be 'y'.
The number of students who chose lunch was 5 more than the number of students who chose breakfast.
i.e. [tex]y=5+x[/tex]
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So, [tex]x+y=25[/tex]
Therefore, the system of linear equations are [tex]y=5+x[/tex] and [tex]x+y=25[/tex]