Answer:
(a) The system of equations that could be used to find the length (in hours) of each type of workout is:
- Equation 1: 3x + 5y = Total hours on Friday
- Equation 2: 5x + 7y = Total hours on Saturday
where x is the length (in hours) of each Plan A workout and y is the length (in hours) of each Plan B workout.
(b) To find the length of each type of workout, we need to know the total hours that Susan trained on Friday and Saturday. Once we have that information, we can solve the system of equations using either the substitution or elimination method.
(c) To find the length of each type of workout, we can either solve the system of equations ourselves or use a calculator or online tool (like Wolfram Alpha) to solve it for us. Once we have the solution, we can plug it back in to the equations to make sure it works.
For example, if the total hours on Friday were 12 and the total hours on Saturday were 18, the solution would be:
- x (Plan A) = 2 hours
- y (Plan B) = 4 hours
And plugging it
Explanation: