Solving Systems Using Substitution

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Solving Systems Using Substitution ALGEBRA 1 LESSON 7-2 pages 349–352 Exercises 1. D 2. C 3. B 4. A 5–16. Coordinates given in alphabetical order. 5. (9, 28) 6. (– , –4 ) 7. (6 , – ) 8. (2, 4 ) 9. (4, 20) 10. ( , 9 ) 11. (2, 0) 12. (7 , 11 ) 13. (6, –2) 14. (3, –2) 15. (8, –7) 16. (–3, 9.4) 17. 4 cm by 13 cm 18. 4 wk 19. (15, 15) 20. (9, 126) 21. (–4, 4) 3 4 3 8 22. 15 video rentals 23. 80 acres flax, 160 acres sunflowers 24. 9 yr 25. estimate: ( , 1); ; ( , 1) 7 17 8 17 1 2 1 2 1 2 1 2 1 3 1 3 1 2 7-2

Solving Systems Using Substitution ALGEBRA 1 LESSON 7-2 28. estimate: (–3.5, –3.5); (– , – ) 29. estimate: (– , 4 ); (– , ) 26. estimate: (–2, 3); ; (–2, 3) 27. estimate: (–1, 1); (–1, 1) 10 3 11 3 3 4 3 4 2 3 14 3 7-2

Solving Systems Using Substitution ALGEBRA 1 LESSON 7-2 30. estimate: (–4, 0); (– , – ) 31. a. Let n = number of nickels, let d = number of dimes. n + d = 28 0.05n + 0.10d = 2.05 b. Solve the first eq. for either var. Sub. the expression into the second eq. Solve this eq. for the other var., and then sub. its value into the first eq. and solve for the first var. c. (15, 13) 32. Answers may vary. Sample: y = x and y = –3x + 2; ( , ) 33. a. (x, y) such that y = 0.5x + 4 b. c. Graphing shows only one line. Substitution results in a true equation with no variables. 1 2 1 2 50 11 2 11 7-2

Solving Systems Using Substitution ALGEBRA 1 LESSON 7-2 38. (2, ) 39. (– , 0) 40. (4, –2) 41. inf. many solutions 42. no solution 43. 1 solution 44. a. g = b b. (b, g) = (572, 598) c. 26 45. a. (t, d) = (9, 79.2) b. yes 46. (r, s, t) = (7, 9, 4) 47. 29.8 1 2 48. 4803 49. 520 50. [2] 7(–7) – 4(–2) 29 –49 + 8 29 –41 29 No, (–2, –7) must satisfy both equations to be a solution of the system. [1] no explanation given 34. a. no solution b. c. Graphing shows 2 parallel lines. Substitution results in a false equation with no variables. 35. (2, 4) 36. (– , – ) 37. (2, –4) 1 2 = / 23 22 1 2 1 2 7-2

Solving Systems Using Substitution ALGEBRA 1 LESSON 7-2 51. (12, 10); 52. (2, 1); 53. (4, 2); 54. 55. 56. 57. 58. 59. 7-2