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Elimination and Substitution Methods for Graphing - Best Techniques

This guide explains the concepts of elimination and substitution in graphing methods. Learn the best strategies to solve equations, including addition/subtraction and multiplication. Discover the different scenarios - parallel, coinciding, intersecting, and no solution - and understand how to identify each one. Practice solving various equations with step-by-step explanations. Suitable for beginners in math.

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Elimination and Substitution Methods for Graphing - Best Techniques

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  1. With Mr. Tyler

  2. Describe the Line.

  3. Graphing

  4. Elimination (add/subtract)

  5. Substitution

  6. Elimination (multiply)

  7. Best Method

  8. Describe the Line Elimination (add/subtract) Elimination (multiply) Best Method Graphing Substitution $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500

  9. 1-100 1 - 100 These lines do not intersect. $100

  10. 1-100A 1 - 100 What is "parallel"? $100

  11. 1-200 These lines overlap completely. $200

  12. 1-200A 1 - 100 What is "coinciding"? $200

  13. 1-300 These lines produce no solution. $300

  14. 1-300A 1 - 100 What is "parallel"? $300

  15. 1-400 These lines produce 1 solution. $400

  16. 1-400A 1 - 100 What is "intersecting"? $400

  17. 1-500 These lines produce infinitely many solutions. $500

  18. 1-500A 1 - 100 What is "coinciding"? $500

  19. 2-100 1 - 100 Find the solution. $100

  20. 2-100A 1 - 100 What is "(0, -1)"? $100

  21. 2-200 Find the solution. $200

  22. 2-200A 1 - 100 What is "(1, 2)"? $200

  23. 2-300 Find the solution. $300

  24. 2-300A 1 - 100 What is "(-1, 3)"? $300

  25. 2-400 Find the solution. $400

  26. 2-400A 1 - 100 What is "no solution"? $400

  27. 2-500 Find the solution. $500

  28. 2-500A 1 - 100 What is "infinite solutions"? $500

  29. 3-100 1 - 100 Find x. x + y = 8 x - y = 4 $100

  30. 3-100A 1 - 100 What is "x = 6"? $100

  31. 3-200 Find r. 2r + s = 5 r - s = 1 $200

  32. 3-200A 1 - 100 What is "r = 2"? $200

  33. 3-300 Find y. x - 3y = 7 x + 2y = 2 $300

  34. 3-300A 1 - 100 What is "y = -1"? $300

  35. 3-400 Find x. 3x + y = 1 x - y = 3 $400

  36. 3-400A 1 - 100 What is "x = 1"? $400

  37. 3-500 Find x. 5x + 4y = 12 3x + 4y = 4 $500

  38. 3-500A 1 - 100 What is "x = 4"? $500

  39. 4-100 1 - 100 Find y. y = 3 x + y = 7 $100

  40. 4-100A 1 - 100 What is "x = 4"? $100

  41. 4-200 Find y. y = 5x x + 2y = 22 $200

  42. 4-200A 1 - 100 What is "y = 10"? $200

  43. 4-300 Find y. x = -2 x - 2y = 6 $300

  44. 4-300A 1 - 100 What is "y = -4"? $300

  45. 4-400 Find x. x + y = 4 y = 3x $400

  46. 4-400A 1 - 100 What is "x = 1"? $400

  47. 4-500 Find x. -3x + y = - 8 y = 4 - x $500

  48. 4-500A 1 - 100 What is "x = 3"? $500

  49. 5-100 1 - 100 What would you multiply the 1st equation by to eliminate y? 2x + y = 5 3x - 2y = 4 $100

  50. 5-100A 1 - 100 What is "2"? $100

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