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6-4 Elimination Using Multiplication
Use elimination to solve each system of equations.
7. x + y = 2
−3x + 4y = 15
ANSWER: (−1, 3)
8. x − y = −8
7x + 5y = 16
ANSWER: (−2, 6)
9. x + 5y = 17
−4x + 3y = 24
ANSWER: (−3, 4)
10. 6x + y = −39
3x + 2y = −15
ANSWER: (−7, 3)
11. 2x + 5y = 11
4x + 3y = 1
ANSWER: (−2, 3)
12. 3x − 3y = −6
−5x + 6y = 12
ANSWER: (0, 2)
13. 3x + 4y = 29
6x + 5y = 43
ANSWER: (3, 5)
14. 8x + 3y = 4
−7x + 5y = −34
ANSWER: (2, −4)
15. 8x + 3y = −7
7x + 2y = −3
ANSWER: (1, −5)
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16. 4x + 7y = −80
3x + 5y = −58
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14. 8x + 3y = 4
−7x + 5y = −34
ANSWER: Using Multiplication
6-4 Elimination
(2, −4)
15. 8x + 3y = −7
7x + 2y = −3
ANSWER: (1, −5)
16. 4x + 7y = −80
3x + 5y = −58
ANSWER: (−6, −8)
17. 12x − 3y = −3
6x + y = 1
ANSWER: (0, 1)
18. −4x + 2y = 0
10x + 3y = 8
ANSWER: 19. NUMBER THEORY Seven times a number plus three times another number equals negative one. The sum of the
two numbers is negative three. What are the numbers?
ANSWER: 2, −5
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