“Solution Manual for Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein – Latest 2025/2026 Update”

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

, 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 K




Exercises 1.1
K 5
6. Left 1, down
K K K K

2
1. Right 2, up 3
K K K
y
y


(2, 3)
x
x
( –1, – 52 )


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

(–20, 40)
(–1, 4)
x
x




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


(25, 30)
x
x
(0, –2)




9. Point Q is 2 units to the left and 2 units up or
K K K K K K K K K K K K
4. Right 2 K

y (—2, 2). K




10. Point P is 3 units to the right and 2 units down or
K K K K K K K K K K K K


(3,—2).
x
(2, 0) 1 K

11. —2(1) + (3) = —2 +1 = —1so yes the point is
K K K K K K K K K K K

3
on the line.K K




5. Left 2, up 1 1 K

12. —2(2) + (6) = —1 is false, so no the point is not
K K K
K K K K K K K K K K K K
y
3
on the line K K




(–2, 1)
x



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


1 K 24. 0 = 5
K K K

13 —2x K+ K y K =K—1 K Substitute K the K x K and K y no solution K
3
. x-intercept: none K
coordinates of the point into the equation: K K K K K K

f 1 hı f h When x = 0, y =
' , 3 → —2 ' 1 ı + 1 (3)= —1 → —1+1 = —1 is
K K K K K K
K K K
5y-intercept: (0,
y' ı ' ı
K K K K K K K K K K K K K


5) K

2 J y2J 3 KK K K


a false statement. So no the point is not on
K K K K K K K K K 25. When y = 0, x = 7
K K K K K K K


Ktheline. K x-intercept: (7,
K K



f 1h f1 h 0)0 = 7
K K K K


14 —2 ' ı + ' ı (—1) = —1 is true so yes the point is K K K K K K K K K no solution K
.
'y3 ıJ 'y3 ıJ y-intercept: none K
K KK


on the line.K K
26. 0 = –8x
K K K



15. m = 5, b = 8
K K K K K K
x=0 K K


x-intercept: (0, 0) K K


16. m = –2 and b = –6
K K K K K K K
y = –8(0)K K

y=0 K K


17. K y = 0x + 3; m = 0, b =
K K K K K K K K K
y-intercept: (0, 0) K K


3
K




2 2 1 K

y=
K
x + 0; m = , b = 0
K
27 0= K x –1 K K K
18 K K K K K K K K K K
3
3 3 .
. x=3 K K



19. 14x +7 y = 21
K K K K K K
x-intercept: (3, 0) K K

1 K

7 y = —14x + 21
K K K K K
y = (0) – 1
K K K K

3
y = —2x + 3
K K K K
y = –1
K K

y-intercept: (0, –1) K K
20 x— y =3
K K K K y
. —y = —x +3 K K K K


y = x —3K K K K


(3, 0)
21. KK K 3x = 5 K K
x
5 (0, –1)
x= K K

3
1 2
28. When x = 0, y = 0. K K K K K K

22 – x+ K y = 10 K K

. 2 3 When x = 1, y = 2. K K K K K K

2 K 1 K y
y= K K x +10 K

3 2
3 K
y= K K x +15
K
(1, 2)
4 x
(0, 0)

23. 0 = —4x + 8 K K K K


4x = 8 K K


x =2 K K

x-intercept: (2, 0) K K

y = –4(0) + 8
K K K K

y=8 K K




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