Algebra 2
Name___________________________________
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2.4 Solving using Elimination
Period____
Solve each system by elimination.
1) 3 x + 2 y = - 9
-3 x - 4 y = -3
2) - 2 x - 10 y = - 30
2 x + 7 y = 24
3) 5 x - 3 y = - 16
- 9 x - 3 y = 12
4) - 9 x + y = 0
- 9 x + 4 y = 27
5) - 2 x + 8 y = - 8
- 3 x - 16 y = - 12
6) 6 x - y = - 27
- 10 x + 7 y = 29
Worksheet by Kuta Software LLC
-1-
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7) 5 x + 2 y = - 15
- 15 x + 9 y = - 30
8) 7 x + 12 y = - 25
2 x + 4 y = -6
9) 10 x - 4 y = - 22
3 x + 10 y = 27
10) 48 x + 64 y = 12
- 54 x - 72 y = - 18
Worksheet by Kuta Software LLC
-2-
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11. One day, Ariana purchased 8 gallons of paint and 3 brushes for $152.50. The next day, she
went back and bought 6 gallons of paint and 2 brushes for $113. How much is one gallon of
paint? How much is one brush?
12. Billy’s preschool ordered all new bicycles and tricycles. The manufacturer shipped each
bicycle/tricycle in it’s own separate box and then sent another box full of all the wheels. There
are 16 boxes bicycles/tricycles and 45 wheels when they all arrive. How many of each did the
preschool order?
13. On a recent trip to Steak n Shake, Julia spent $19.75 on two steakburgers and three orders
of fries. Danielle spent $24 on three steakburgers and two orders of fries. How much is one
steakburger? One order of fries?
14. Jesse and her friend Jose are each baking apple pies and tarts for a bake sale, using the
same recipes. Jesse baked 4 apple pies and 3 apple tarts, using a total of 42 apples. Jose made
2 apple pies and 3 apple tarts, which used 30 apples. How many apples does each dessert
require?
Algebra 2
Name___________________________________
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2.4 Solving using Elimination
Period____
Solve each system by elimination.
1) 3 x + 2 y = - 9
-3 x - 4 y = -3
(- 7, 6 )
3) 5 x - 3 y = - 16
- 9 x - 3 y = 12
(- 2, 2 )
5) - 2 x + 8 y = - 8
- 3 x - 16 y = - 12
(4, 0 )
2) - 2 x - 10 y = - 30
2 x + 7 y = 24
(5, 2 )
4) - 9 x + y = 0
- 9 x + 4 y = 27
(1, 9 )
6) 6 x - y = - 27
- 10 x + 7 y = 29
(- 5, - 3 )
Worksheet by Kuta Software LLC
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7) 5 x + 2 y = - 15
- 15 x + 9 y = - 30
(- 1, - 5 )
9) 10 x - 4 y = - 22
3 x + 10 y = 27
(- 1, 3 )
8) 7 x + 12 y = - 25
2 x + 4 y = -6
(- 7, 2 )
10) 48 x + 64 y = 12
- 54 x - 72 y = - 18
No solution
Worksheet by Kuta Software LLC
-2-
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