Lesson 5: applying systems of linear equations
Words to Know
Examples
1. Choose the Best Method
Solve the system and state which method used
a) 5x + 7y = 2 and -2x + 7y = 9
b) 3x - 4y = -10 and 5x + 8y = -2
c) x - y = 9 and 7x + y = 7
d) 5x - y = 17 and 3x + 2y = 5
Solve the system and state which method used
a) 5x + 7y = 2 and -2x + 7y = 9
b) 3x - 4y = -10 and 5x + 8y = -2
c) x - y = 9 and 7x + y = 7
d) 5x - y = 17 and 3x + 2y = 5
2. Apply Systems of Linear Equations
a) Jared has volunteered 50 hours and plans to volunteer 3 hours in each coming week. Clementine is a new volunteer who plans to volunteer 5 hours each week. Write and solve a system of equations to find how long it will be before they will have volunteered the same number of hours.
a) Jared has volunteered 50 hours and plans to volunteer 3 hours in each coming week. Clementine is a new volunteer who plans to volunteer 5 hours each week. Write and solve a system of equations to find how long it will be before they will have volunteered the same number of hours.
b) Sheila has a total of 40 DVDs of movies and TV shows. The number of movies is 4 less than 3 times the number of TV shows. Write and solve a system of equations to find the numbers of movies and TV shows that she has on DVD.
Tips
Extra Examples
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Problems of the Day
1. 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?
2. What is the easiest way for YOU to solve systems of equations?
2. What is the easiest way for YOU to solve systems of equations?