Exercises 5.5, page 167

  1. 1. x = 1 ,  y =  − 4 ,  z = 13

  2. 3. x = 2 ,  y =  − 1 ,  z = 1

  3. 5. x = 4 ,  y =  − 3 ,  z = 3

  4. 7. l = 12 ,  w = 23 ,  h = 16

  5. 9. x = 23 ,  y =  − 13 ,  z = 1

  6. 11. x = 415 ,  y =  − 35 ,  z = 13

  7. 13. x = 34 ,  y = 1 ,  z =  − 12

  8. 15. x =  − 3 ,  y = 2 ,  z = 1

  9. 17. I1 = 3.62 ,  I2 = 5.11 ,  I3 = 1.49

  10. 19. f(x) = x2 − 3x + 5

  11. 21. P = 800 h ,  M = 125 h ,  I = 225 h

  12. 23. F1 = 9.43 N ,  F2 = 8.33 N ,  F3 = 1.67 N

  13. 25. A = 22.5 °  ,  B = 45.0 °  ,  C = 112.5 ° 

  14. 27. A − 19,400 ,  B − 20,000 ,  C − 19,900

  15. 29. MA  − 260 , MS  − 120 , PhD  − 40

  16. 31. 70 lb, 100 lb, 30 lb

  17. 33. Unlimited: x =  − 10 ,  y =  − 6 ,  z = 0

  18. 35. No solution

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