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)
PLEASE

See below

Step-by-step explanation:

Required equations:

Substitute y in the first equation and solve for x:

Jackie spends 15 min on running every day

Let dancing time y = 45, then:

The difference in times:

If she spends 45 minutes on dancing then would spend 10 minutes on running and the difference is not 25 minutes, therefore it is impossible.

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality