Exercises 5.5, page 167

1. $x = 1, y = - 4, z = \frac{1}{3}$ $x = 1, y = - 4, z = \frac{1}{3}$
3. $x = 2, y = - 1, z = 1$ $x = 2, y = - 1, z = 1$
5. $x = 4, y = - 3, z = 3$ $x = 4, y = - 3, z = 3$
7. $l = \frac{1}{2}, w = \frac{2}{3}, h = \frac{1}{6}$ $l = \frac{1}{2}, w = \frac{2}{3}, h = \frac{1}{6}$
9. $x = \frac{2}{3}, y = - \frac{1}{3}, z = 1$ $x = \frac{2}{3}, y = - \frac{1}{3}, z = 1$
11. $x = \frac{4}{15}, y = - \frac{3}{5}, z = \frac{1}{3}$ $x = \frac{4}{15}, y = - \frac{3}{5}, z = \frac{1}{3}$
13. $x = \frac{3}{4}, y = 1, z = - \frac{1}{2}$ $x = \frac{3}{4}, y = 1, z = - \frac{1}{2}$
15. $x = - 3, y = 2, z = 1$ $x = - 3, y = 2, z = 1$
17. $I_{1} = 3.62, I_{2} = 5.11, I_{3} = 1.49$ $I_{1} = 3.62, I_{2} = 5.11, I_{3} = 1.49$
19. $f (x) = x^{2} - 3 x + 5$ $f (x) = x^{2} - 3 x + 5$
21. $P = 800 h, M = 125 h, I = 225 h$ $P = 800 h, M = 125 h, I = 225 h$
23. $F_{1} = 9.43 N, F_{2} = 8.33 N, F_{3} = 1.67 N$ $F_{1} = 9.43 N, F_{2} = 8.33 N, F_{3} = 1.67 N$
25. $A = 22.5 °, B = 45.0 °, C = 112.5 °$ $A = 22.5 °, B = 45.0 °, C = 112.5 °$
27. $A - 19,400, B - 20,000, C - 19,900$ $A - 19,400, B - 20,000, C - 19,900$
29. $MA - 260, MS - 120, PhD - 40$ $MA - 260, MS - 120, PhD - 40$
31. 70 lb, 100 lb, 30 lb
33. Unlimited: $x = - 10, y = - 6, z = 0$ $x = - 10, y = - 6, z = 0$
35. No solution

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Table of Contents for Exercises 5.5, page 167