A. The pair of linear equations are: x + y = 55 and y = x + 25
B. Number of time she spend running everyday is: 15 minutes.
C. It is not possible.
<h3>How to Write a System of Linear Equations?</h3>
A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.
<u>Part A:</u> To write a pair of linear equations, do the following,
Let x represent the time Jackie runs
Let y represent the time Jackie dances
We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:
x + y = 55 --> equation 1
We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:
y = x + 25 --> equation 2
Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:
x + y = 55
y = x + 25
Part B: Substitute y = (x + 25) into equation 1
x + y = 55 --> equation 1
x + x + 25 = 55
2x + 25 = 55
2x = 55 - 25
2x = 30
x = 15
Therefore, the number of time she spend running everyday is: 15 minutes.
Part C:
If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.
15 + 45 = 55
60 = 55 (not true)
Therefore, it is not possible.
Learn more about the system of equations on:
brainly.com/question/13729904
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