The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa
1 answer:
Answer:
The system of linear equations are and
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.
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So,
Therefore, the system of linear equations are and
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The points that are on the linear function 2x + y = 10 are given as follows:
(5,0), (4,2), (9,-8).
<h3>How to verify if a point is on a function?</h3>To verify if a point is on a function, we replace the instances of x and y in the function by the numeric values of the points, and then an identity has to be reached to verify if the point is on the function.
For this problem, the function is given by:
2x + y = 10.
For point (5,0), we have that x = 5, y = 0, hence:
2(5) + 0 = 10
10 = 10
Hence point (5,0) is on the function.
For point (4,2), we have that x = 4, y = 2, hence:
2(4) + 2 = 10
10 = 10
Hence point (4,2) is on the function.
For point (9,-8), we have that x = 9, y = -8, hence:
2(9) - 8 = 10
10 = 10
Hence point (9,-8) is on the function.
The line is given at the graph at the end of the answer, with the points also plotted.
More can be learned about linear functions at brainly.com/question/24808124
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