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Chapter 5: Q. 76 (page 611)
In the following exercises, solve the systems of equations by substitution.
The solution set is .
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Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system
(a) for t to find out how long it will take Tina to catch up to Stephanie.
(b) what is the value of s, the number of hours Stephanie will have driven before Tina catches up to her?
In the following exercises, translate to a system of equations and solve.
Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories. The next day, Shelly swapped times, doing 20 minutes of jogging and 10 minutes of cycling and burned the same number of calories. How many calories were burned for each minute of jogging and how many for each minute of cycling?
In the following exercises, translate to a system of equations and solve.
Felecia left her home to visit her daughter driving 45 mph. Her husband waited for the dog sitter to arrive and left home twenty minutes (1/3hour) later. He drove 55 mph to catch up to Felecia. How long before he reaches her?
In the following exercises, solve the following systems of equations by graphing.
In the following exercises, translate to a system of equations and solve.
The perimeter of a rectangle is 60. The length is 10 more than the width. Find the length and width.
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