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Solving Systems by Elimination (Show work for full credit. Answers at bottom.)
1. x + 2y = –7
3x – 2y = –3
2.
4. –3x + 4y = 8
3x – 4y = 16
5.
Cross off your answers as you go:
(-4, -8)
3x + y =-20
-x – y = 12
-3x + 6y = 6
-4x – 6y = 8
no solutions
(1, 3)
(7, 6)
Name________________________________
3.
5x + 7y = 77
-5x - 3y = -53
6.
2x + y = 3
–2x – y = -3
infinitely many solutions
(-2, 0)
7.
3x + 5y = 10
x – 5y = –10
8.
11.
10. x – 3y = 5
x + 3y =7
(18, 12)
(0, 2)
no solutions
x + y = 30
x–y=6
12x – 4y = –16
–12x + 4y = 16
infinitely many solutions
9. -6x – 3y = -9
6x + 3y = 9
12.
2x + 5y = 7
–2x – 5y = 3
(6, 1/3)
infinitely many solutions
13. 2x - y = 8
x + 3y = 4
14.
3x + 6y = 6
2x – 3y = 4
15.
2x + 2y = 32
x–y=6
16.
17.
2x + 2y = 4
-x + 2y = 4
18.
24x – 8y = –32
–12x + 4y = 16
-6x – 3y = -9
2x + y = -3
(2, 0)
no solutions
(0, 2)
(4, 0)
(11, 5)
infinitely many solutions
19.
3x + 4y = 25
3x - 3y = -3
22. x - 5y = 5
3x + y = 31
(3, 4)
(-2, -1)
20.
x+y=5
x + y = -5
21.
23.
x - 2y = -2
-2x + 4y = 4
24.
no solutions
no solutions
3x + 4y = -10
3x - 2y = -4
20x + 40y = 50
10x + 20y = 30
infinitely many solutions
(10, 1)
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