Download 6.5 Applying Systems of Linear Equations

Algebra
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6.5 Applying Systems of Linear Equations
LEQ:
Example #1- Choose the Best Method
Determine the best method to solve the system of equations. Then solve the system.
2 x  3 y  23
4 x  2 y  34
Understand:
Plan:
Solve:
Check:
Check Your Progress
At the school pool party, Mr. Lewis bought 1 adult ticket and 2 child tickets for $10. Mrs. Vroom bought
2 adult tickets and 3 child tickets for $17. The following system can be used to represent this situation,
where x is the number of adult tickets and y is the number of child tickets. Determine the best method
to solve the system of equations. Then solve the system.
x  2 y  10
2 x  3 y  17
Example #2- Apply Systems of Linear Equations
Ace car rental rents a car for $45 and $0.25 per mile. Star Car Rental rents a car for $35 and $0.30
per mile. How many miles would a driver need to drive before the cost of renting a car at Ace Car Rental
and renting a car at Star Car Rental were the same?
Check Your Progress
The cost to rent a video game from Action Video is $2 plus $0.50 per day. The cost to rent a video game
at TeeVee Rentals is $1 plus $0.75 per day. After how many days will the cost of renting a video game at
Action Video be the same as the cost of renting a video game at TeeVee Rentals?