## Solutions to Try Its

1. $x=-5$

2. $x=-3$

3. $x=\frac{10}{3}$

4. $x=1$

5. $x=-\frac{7}{17}$. Excluded values are $x=-\frac{1}{2}$ and $x=-\frac{1}{3}$.

6. $x=\frac{1}{3}$

7. $m=-\frac{2}{3}$

8. $y=4x - 3$

9. $x+3y=2$

10. Horizontal line: $y=2$

11. Parallel lines: equations are written in slope-intercept form.

12. $y=5x+3$

## Solutions to Odd-Numbered Exercises

1. It means they have the same slope.

3. The exponent of the $x$ variable is 1. It is called a first-degree equation.

5. If we insert either value into the equation, they make an expression in the equation undefined (zero in the denominator).

7. $x=2$

9. $x=\frac{2}{7}$

11. $x=6$

13. $x=3$

15. $x=-14$

17. $x\ne -4$; $x=-3$

19. $x\ne 1$; when we solve this we get $x=1$, which is excluded, therefore NO solution

21. $x\ne 0$; $x=\frac{-5}{2}$

23. $y=\frac{-4}{5}x+\frac{14}{5}$

25. $y=\frac{-3}{4}x+2$

27. $y=\frac{1}{2}x+\frac{5}{2}$

29. $y=-3x - 5$

31. $y=7$

33. $y=-4$

35. $8x+5y=7$

37. Parallel

39. Perpendicular

41. $m=\frac{-9}{7}$

43. $m=\frac{3}{2}$

45. ${m}_{1}=\frac{-1}{3},\text{ }{m}_{2}=3;\text{ }\text{Perpendicular}$

47. $y=0.245x - 45.662$. Answers may vary. ${y}_{\text{min}}=-50,\text{ }{y}_{\text{max}}=-40$

49. $y=-2.333x+6.667$. Answers may vary. ${y}_{\mathrm{min}}=-10, {y}_{\mathrm{max}}=10$

51. $y=\frac{-A}{B}x+\frac{C}{B}$

53. Yes, they are perpendicular.

$\begin{array}{l}\text{The slope for }\left(-1,1\right)\text{ to }\left(0,4\right)\text{ is }3.\\ \text{The slope for }\left(-1,1\right)\text{ to }\left(2,0\right)\text{ is }\frac{-1}{3}.\\ \text{The slope for }\left(2,0\right)\text{ to }\left(3,3\right)\text{ is }3.\\ \text{The slope for }\left(0,4\right)\text{ to }\left(3,3\right)\text{ is }\frac{-1}{3}\end{array}$.

55. 30 ft

57. \$57.50

59. 220 mi