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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)