SOLUTION MANUAL: Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein | Chapters 1–12 | Complete 2026–2027

SOLUTION MANUAL: Finite Mathematics & Its
Applications 13th Edition by Larry J. Goldstein |
Chapters 1–12 | Complete 2026–2027
All chapters covered

, Contents
Chapter 1: LinearEquationsandStraightLines
l l l l l 1–1
Chapter 2: Matrices
l 2–1

Chapter 3: LinearProgramming, AGeometric Approach
l l l l l 3–1

Chapter4: TheSimplexMethod
l l l 4–1

Chapter 5: SetsandCounting
l l l 5–1

Chapter 6: Probability
l 6–1

Chapter 7: ProbabilityandStatistics
l l l 7–1

Chapter 8: MarkoṿProcesses
l l 8–1

Chapter9: The Theory of Games
l l l l 9–1

Chapter10: TheMathematics ofFinance
l l l l 10–1

Chapter11: Logic
l 11–1

Chapter12: DifferenceEquationsandMathematicalModels
l l l l l 12–1

, Chapter1
l




Exercises 1.1 5
l

6. Left 1, down
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1. 2
Right 2, up 3
l l l
y
y


(2, 3)
l



x
x
l
2




7. Left 20, up40 l l l


2. Left 1, up 4
l l l
y
y

(–20, 40) l

(–1, 4) l




x
x




8. Right 25, up 30 l l l


3. Down2 l
y
y


(25, 30) l




x
x
(0, –2) l




9. Point Q is 2 units tothe left and 2 units upor (—2,
l l l l l l l l l l l l l


4. Right2 l



y 2).
l




10. Point Pis 3units totheright and 2units down or (3,—
l l l l l l l l l l l l l




2).
x
(2, 0)
l
1
11. —2(1)+ (3)=—2+1=—1so yes the point is
l l l l l l l l l l l l




3
on the line.
l l




5. Left 2, up 1 1
l l l

12. —2(2)+ (6)=—1isfalse, so no the point is not
l l l l l l l l l l l l l

y
3
on the line
l l




(–2, 1) l

x



Copyright © 2023Pearson Education, Inc.
l l l l l 1-1

, Chapter1:LinearEquationsandStraightLinesl l l l l l ISM:Finite Math
l l




1 24. 0 = 5
l l l




13 —2x + y =—1 Substitute the x and y l l l l l l l l l
no solution l



. 3 x-intercept: none l



coordinatesofthepointinto theequation: l l l l l l When x = 0, y = 5
'f1 ,3 →—2
ıh ' f1ıh+ 1(3)=—1→—1+1=—1 is
l l l l l l

l l l

l
l
l l l
y-intercept:(0,5)
y' ı ' ı
l l



l



2 J y2J 3 l l




a false statement. So no thepoint is not on
l l l l l l l l l 25. When y = 0, x = 7 l l l l l l




theline.
l x-intercept: (7, 0) l l




f1h f 1 h l
l
0= 7 l l




14 —2 ' ı +' ı (—1)=—1 istruesoyesthepointis lll l
no solution
. l l l l l l l l l




y-intercept: none
y'3ıJ y'3ıJ
l




on the line. l l
26. 0 = –8x
l l




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




x-intercept:(0,0) l l




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




y =0 l l




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




2 2 1 l




y= x+0; m= , b=0 27 0= x–1 l l l l


18 l l l l l l l l l l l


3
. 3 3 .
x =3 l l




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



1 l



7y =—14x +21 l l l
y= (0)–1 l l l l




3
y =—2x +3 l l l


y = –1 l l



y-intercept: (0, –1) l l



20 x — y =3 l l l l y
. —y =—x+3 l l l




y = x —3 l l l




(3, 0)
x
l


21. 3x=5
l l l



5 (0, –1)
x= l l
l




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




– 2x+ y =10
l l


22 l l l
3 When x = 1, y = 2. l l l l l l


. 2 l 1 y
y= l l x+10
l




3 2
3
y= l l x+15 l

(1, 2) l



4 x
(0, 0) l




23. 0 =—4x +8 l l l




4x=8 l l




x=2 l l




x-intercept:(2,0) l l




y = –4(0) + 8
l l l l




y =8 l l




y-intercept:(0,8) l l




1-2 Copyright © 2023 Pearson Education, Inc. l l l l l