Exercises 16.5, page 460

1. $x = \frac{11}{7}, y = \frac{6}{7}$ $x = \frac{11}{7}, y = \frac{6}{7}$
3. $x = 2, y = 1$ $x = 2, y = 1$
5. $x = 1.7, y = 1.6$ $x = 1.7, y = 1.6$
7. Inconsistent
9. $x = - 2, y = - \frac{2}{3}, z = \frac{1}{3}$ $x = - 2, y = - \frac{2}{3}, z = \frac{1}{3}$
11. $w = 1, x = 0, y = - 2, z = 3$ $w = 1, x = 0, y = - 2, z = 3$
13. Unlimited; $x = 0, y = - 1, z = 1; x = 11, y = 0, z = - 6$ $x = 0, y = - 1, z = 1; x = 11, y = 0, z = - 6$
15. Inconsistent
17. $x = 4, y = \frac{2}{3}, z = - 2$ $x = 4, y = \frac{2}{3}, z = - 2$
19. $x = \frac{1}{2}, y = - \frac{3}{2}$ $x = \frac{1}{2}, y = - \frac{3}{2}$
21. $x = \frac{1}{6}, y = - \frac{1}{2}$ $x = \frac{1}{6}, y = - \frac{1}{2}$
23. Inconsistent
25. $x = 1, y = 3, z = 2$ $x = 1, y = 3, z = 2$
27. $r = - \frac{8}{7}, s = - \frac{8}{9}, t = \frac{83}{63}, u = - \frac{22}{21}$ $r = - \frac{8}{7}, s = - \frac{8}{9}, t = \frac{83}{63}, u = - \frac{22}{21}$
29. $x = \frac{c_{1} b_{2} - c_{2} b_{1}}{a_{1} b_{2} - a_{2} b_{1}}, y = \frac{a_{1} c_{2} - a_{2} c_{1}}{a_{1} b_{2} - a_{2} b_{1}}$ $x = \frac{c_{1} b_{2} - c_{2} b_{1}}{a_{1} b_{2} - a_{2} b_{1}}, y = \frac{a_{1} c_{2} - a_{2} c_{1}}{a_{1} b_{2} - a_{2} b_{1}}$
31. 1080 km, 1290 km
33. 250 parts/h, 220 parts/h, 180 parts/h

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Table of Contents for Exercises 16.5, page 460