SOLUTION MANUAL Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein, Chapters 1 - 12, Complete, latest 2026.

SOLUTION MANUAL
Finite Mathematics & Its Applications
13th Edition by Larry J. Goldstein,

, Contents
Chapter 1: Linear Equations and Straight Lines 1–1

Chapter 2: Matrices 2–1

Chapter 3: Linear Programming, A Geometric Approach 3–1

Chapter 4: The Simplex Method 4–1

Chapter 5: Sets and Counting 5–1

Chapter 6: Probability 6–1

Chapter 7: Probability and Statistics 7–1

Chapter 8: Markov Processes 8–1

Chapter 9: The Theory of Games 9–1

Chapter 10: The Mathematics of Finance 10–1

Chapter 11: Logic 11–1

Chapter 12: Difference Equations and Mathematical Models 12–1

, Chapter 1
Exercises 1.1 5
6. Left 1, down
2
1. Right 2, up 3 y
y


(2, 3)
x
x
( –1, – 5
2 )


7. Left 20, up 40
2. Left 1, up 4 y
y

(–20, 40)
(–1, 4)

x
x




8. Right 25, up 30
3. Down 2 y
y


(25, 30)

x
x
(0, –2)




9. Point Q is 2 units to the left and 2 units up or
4. Right 2
y (2, 2).

10. Point P is 3 units to the right and 2 units down or
(3, 2).
x
(2, 0) 1
11. 2(1) (3)
2 1
1 so yes the point is
3
on the line.

5. Left 2, up 1 1
y 12. 2(2) (6)
1 is false, so no the point is not
3
on the line

(–2, 1)
x




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, Chapter 1: Linear Equations and Straight Lines ISM: Finite Math


1 24. 0 = 5
13. 2 x y
1 Substitute the x and y no solution
3
coordinates of the point into the equation: x-intercept: none
When x = 0, y = 5
 1 ¬­  ¬
žž ,3­ l 2 žž 1 ­­ 1 3
1 l 1 1
1 is y-intercept: (0, 5)
žŸ 2 ­® žŸ 2 ­® 3
a false statement. So no the point is not on the 25. When y = 0, x = 7
line. x-intercept: (7, 0)
0=7
1¬ 1¬ no solution
14. 2 žž ­­­ žž ­­­ (1)
1 is true so yes the point is y-intercept: none
žŸ 3 ® žŸ 3 ®
on the line. 26. 0 = –8x
x=0
15. m = 5, b = 8 x-intercept: (0, 0)
y = –8(0)
16. m = –2 and b = –6
y=0
17. y = 0x + 3; m = 0, b = 3 y-intercept: (0, 0)

2 2 1
18. y
x 0; m
, b
0 27. 0
x – 1
3 3 3
x=3
19. 14 x 7 y
21 x-intercept: (3, 0)
1
7 y
14 x 21 y
(0) – 1
3
y
2 x 3
y = –1
y-intercept: (0, –1)
20. x  y
3 y
 y
x 3
y
x 3
(3, 0)
x
21. 3 x
5
(0, –1)
5
x

3

1 2 28. When x = 0, y = 0.
22. – 2 x y
10
3 When x = 1, y = 2.
2 1 y
y
x 10
3 2
3
y
x 15 (1, 2)
4 x
(0, 0)
23. 0
4 x 8
4x
8
x
2
x-intercept: (2, 0)
y = –4(0) + 8
y=8
y-intercept: (0, 8)


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