Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30 minutes more than he does freehand exercises.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises (y) and the number of minutes he runs on the treadmill (x). (5 points)

Part B: How much time does Jacob spend on doing freehand exercises? (3 points)

Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning. (2 points)

(10 points)

Jacobruns on thetreadmillfor 45minutesand he spends doing free handexercisesfor 15minutes.## What is a solution to a system of equations?

solutionto be thesolutionto asystem, it must satisfy all theequationsof thatsystem, and as all points satisfying anequationare in their graphs, sosolutionto asystemis theintersectionof all itsequationat singlepoint.Jacobruns on thetreadmilland y be the number of minutes on free-handexercise.equation1 and 2:Jacobruns on thetreadmillfor 45minutesand he spends doing free handexercisesfor 15minutes.solutionhere: