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NAME
6-3
DATE
PERIOD
Skills Practice
Elimination Using Addition and Subtraction
Use elimination to solve each system of equations.
1. x - y = 1
x + y = 3 (2, 1)
2. -x + y = 1
x + y = 11 (5, 6)
3. x + 4y = 11
x - 6y = 11 (11, 0)
4. -x + 3y = 6
x + 3y = 18 (6, 4)
5. 3x + 4y = 19
3x + 6y = 33 (-3, 7)
6. x + 4y = -8
x - 4y = -8 (-8, 0)
7. 3x + 4y = 2
4x - 4y = 12 (2, -1)
8. 3x - y = -1
-3x - y = 5 (-1, -2)
9. 2x - 3y = 9
-5x - 3y = 30 (-3, -5)
10. x - y = 4
2x + y = -4 (0, -4)
12. 5x - y = -6
-x + y = 2 (-1, 1)
13. 6x - 2y = 32
4x - 2y = 18 (7, 5)
14. 3x + 2y = -19
-3x - 5y = 25 (-5, -2)
15. 7x + 4y = 2
7x + 2y = 8 (2, -3)
16. 2x - 5y = -28
4x + 5y = 4 (-4, 4)
17. The sum of two numbers is 28 and their difference is 4. What are the numbers? 12, 16
18. Find the two numbers whose sum is 29 and whose difference is 15. 7, 22
19. The sum of two numbers is 24 and their difference is 2. What are the numbers? 13, 11
20. Find the two numbers whose sum is 54 and whose difference is 4. 25, 29
21. Two times a number added to another number is 25. Three times the first number minus
the other number is 20. Find the numbers. 9, 7
Chapter 6
20
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
11. 3x - y = 26
-2x - y = -24 (10, 4)
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