Exercises 5.4, Page 163

1. 86
3. $x = - 13, y = - 27$ $x = - 13, y = - 27$
5. $- 4$ $- 4$
7. 29
9. 108
11. 9300
13. 1.083
15. $- 256$ $- 256$
17. $- a^{2} + a + 2$ $- a^{2} + a + 2$
19. $x = 3, y = 1$ $x = 3, y = 1$
21. $x = - 1, y = - 2$ $x = - 1, y = - 2$
23. $t = - \frac{1}{3}, y = 2$ $t = - \frac{1}{3}, y = 2$
25. Inconsistent
27. $x = - \frac{14}{5}, y = - \frac{16}{5}$ $x = - \frac{14}{5}, y = - \frac{16}{5}$
29. $x = 2, y = 0.4$ $x = 2, y = 0.4$
31. $s = 3.9, t = 3.2$ $s = 3.9, t = 3.2$
33. $x = - 11.2, y = - 9.26$ $x = - 11.2, y = - 9.26$
35. $x = - 1.0, y = - 2.0$ $x = - 1.0, y = - 2.0$
37. 0
39. 0
41. $F_{1} = 15 lb, F_{2} = 6.0 lb$ $F_{1} = 15 lb, F_{2} = 6.0 lb$
43. $x = 18.4 gal, y = 17.6 gal$ $x = 18.4 gal, y = 17.6 gal$
45. 160 3-bedroom homes, 80 4-bedroom homes
47. 210 phones, 110 detectors
49. $L = 1.30 m, W = 0.802 m$ $L = 1.30 m, W = 0.802 m$
51. $2000,6%
53. 2.5 h, 2.1 h
55. $d = 835 ft, h = 327 ft$ $d = 835 ft, h = 327 ft$

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Table of Contents for Exercises 5.4, Page 163