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Substitution
Elimination
Substitution Or Elimination
Word Problems Substitution
Word Problems Elimination
100
x+y=4 x-y=2
What is x=3, y=1
100
x-y=2 6x-5y=16
What is x=6, y=4
100
3y+2x=6 5y-2x=10
What is x=0, y=2
100
A librarian is expanding some sections of the city library. He buys books at a special price from a dealer who charges one price for any hardback book and another price for any paperback book. For the children's section, Mr. Hodge purchased 47 new hardcover books and 59 new paperback books, which cost a total of $718. He also purchased 47 new hardcover books and 13 new paperback books for the adult fiction section, spending a total of $488. What is the special price for each type of book?
What is x=9, y=5
100
Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
What is x=2, y=4
200
3x+2y=4 5x-2y=12
What is y=-1, x=2
200
2x+y=6 -x+y=0
What is x=2, y=2
200
3x+y=9 5x+4y=22
What is x=2, y=3
200
Mr. Collin sells a bunch of tickets to St. George and the dragon. He sells 8 adult tickets for 177 dollars. He also sells 14 adult tickets and 6 children's tickets for 224 dollars. How much does an adult ticket cost? How much does a children's ticket cost?
What is A=12.23, C=8.8
200
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
What is x=15, y=5
300
y-5x=-7 -3x-2y=-12
What is y=3, x=0
300
-2x+3y=10 x+y=0
What is x=-2, Y=2
300
2x+3y=15 4x-3y=3
What is x=3, y=3
300
The student council at Fairfax High School is raising money by selling hot apple cider and hot chocolate at this week's games. They sold 62 apple ciders and 21 hot chocolates at the football game, raising a total of $145. They raised $59 at the soccer game by selling 19 apple ciders and 21 hot chocolates. How much is the student council selling each drink for?
What is x=2, y=1
300
Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication?
What is x=20, y=40
400
-5x+y=-3 3x-8y=24
What is y=-3, x=0
400
2x-y+2=0 4x+y-5=0
What is x=1/2, y=3
400
4x + y = 24 y = –4x + 24
What is x=5, y=4
400
The receivers for the Riverside University football team are practicing running different routes on the field. They have to run a specific distance so that the quarterback knows exactly where to throw the ball. Oliver ran 14 post routes and 25 slant routes, which meant he ran a total of 424 meters. Vince ran 29 post routes and 22 slant routes, which equaled a total of 640 meters. How long is each route?
What is x=16, y=8
400
Josie loves riding Ferris wheels and roller coasters. While visiting the Grant County Fair, she first went on the Ferris wheel 5 times and the roller coaster 2 times, using a total of 22 tickets. Then, after taking a break and having a snack, Josie went on the Ferris wheel 2 times and the roller coaster 2 times, using a total of 16 tickets. How many tickets does it take to ride each attraction?
What is x=2, y=6
500
2x-4y=-7 5x+y=-1
What is x=-1/2, y=3/2
500
3x-y=9 x+2y=-2
What is x=4, y=3
500
8x-6x=-20 -16x+7y=30
What is x=-1, y=2
500
In order to burn calories and lose weight, Hannah is trying to incorporate more exercise into her busy schedule. She has several short exercise DVDs she can complete at home. Last week, she burned a total of 209 calories by doing 2 body sculpting workouts and 1 yoga session. This week, she has completed 2 body sculpting workouts and 3 yoga sessions and burned a total of 311 calories. How many calories does each workout burn?
What is x=79, y=51
500
The administrative assistant at a software company often provides breakfast when there is a morning meeting. For last week's sales meeting, she purchased 6 dozen doughnuts and 3 dozen croissants, spending a total of $66. In preparation for yesterday's safety meeting, she spent $28 on 3 dozen doughnuts and 1 dozen croissants. Assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?
What is x=6, y=10