Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points)

Part B: How much time does Jackie spend running every day? Show your work. (3 points)

Part C: Is it possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs? Explain your reasoning. (2 points)

Part A:

Part B: Jackie spend 15 minutes running every day .

Part C:   No , this isn't possible .

Step-by-step explanation:

Here we have ,Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. We need to find :

Part A:

Let the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day , So linear equation from given data in question

  ............ (1)

  .............(2)

Part B:

Putting value of equation (2) in equation (1) we get:

⇒

⇒

⇒

⇒

⇒

Putting value of in :

⇒

⇒

So , Jackie spend 15 minutes running every day .

Part C:

No , this isn't possible because , the number of minutes Jackie runs is 15 minutes and the number of minutes she dances is 40 minutes every day .

(x) - (y) = (1 + 4i)