The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equations that represents the numbers of students who chose breakfast and lunch. Let x x represent the number of students who chose breakfast and y y represent the number of students who chose lunch. (50 students picked, 25 picked dinner the rest picked lunch and breakfast)

Respuesta :

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]

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