Solutions to Odd-Numbered Exercises

1. No, you can either have zero, one, or infinitely many. Examine graphs.

3. You can solve by substitution (isolating $x$ or $y$ ), graphically, or by addition.

5. Yes

7. Yes

9. $\left(-1,2\right)$

11. $\left(-3,1\right)$

13. $\left(-\frac{3}{5},0\right)$

15. No solutions exist.

17. $\left(\frac{72}{5},\frac{132}{5}\right)$

19. $\left(6,-6\right)$

21. $\left(-\frac{1}{2},\frac{1}{10}\right)$

23. No solutions exist.

25. $\left(-\frac{1}{5},\frac{2}{3}\right)$

27. $\left(x,\frac{x+3}{2}\right)$

29. $\left(-4,4\right)$

31. $\left(\frac{1}{2},\frac{1}{8}\right)$

33. $\left(\frac{1}{6},0\right)$

35. $\left(x,2\left(7x - 6\right)\right)$

37. $\left(-\frac{5}{6},\frac{4}{3}\right)$

39. Consistent with one solution

41. Consistent with one solution

43. Dependent with infinitely many solutions

45. $\left(-3.08,4.91\right)$

47. $\left(-1.52,2.29\right)$

49. $\left(\frac{A+B}{2},\frac{A-B}{2}\right)$

51. $\left(\frac{-1}{A-B},\frac{A}{A-B}\right)$

53. $\left(\frac{CE-BF}{BD-AE},\frac{AF-CD}{BD-AE}\right)$