Solution Manual for Finite Mathematics and Its Applications, 13th Edition by Larry J. Goldstein

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 A



ExercisesA1.1 5
6.A LeftA1,AdownA
2
1. RightA2,AupA3 y
y


(2, 3)
x
x
( )
–1, – 52




7.A LeftA20,AupA40
2. LeftA1,AupA4 y
y

(–20, 40)
(–1, 4)
x
x




8.A RightA25,AupA30
3.A DownA2 y
y


(25, 30)
x
x
(0, –2)




9. PointAQAisA2AunitsAtoAtheAleftAandA2AunitsAupAor
4. RightA2
y (—2,A2).

10. PointAPAisA3AunitsAtoAtheArightAandA2AunitsAdownAor
(3,—2).
x
(2, 0) 1A
11. —2(1)A+A (3)A=A—2A+1A=A—1soA yesA theA pointA is
3
onAtheAline.

5. LeftA2,AupA1 1A
y 12. —2(2)A+A (6)A=A—1AisA false,A soA noA theA pointA isA not
3
onAtheAline

(–2, 1)
x



Copyright © 2023 Pearson Education, Inc. 1-1

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


1A 24.A 0A=A5
13 —2xA+A yA =A—1A SubstituteA theA xA andA y noAsolution
3
. x-
coordinatesAofAtheApointAintoAtheAequation:
f 1A hıA f h intercept:AnoneA
' ,A3 →A—2 ' 1 ı +A1A(3)A=A—1A→A—1+1A=A—1A is WhenAxA=A0,AyA=A
y' ı ' ı
5Ay-
intercept:A(0,A5)
2AAA J yA2J 3
aAfalseAstatement.ASoAnoAtheApointAisAnotAonA 25.AWhenAyA=A0,AxA=A7A
theAline. x-
f 1h f1h intercept:A(7,A0)A0
14 —2 ' ı + ' ı (—1)A=A—1A isAtrueAsoAyesAtheApointAis A=A7
.
noAsolution
'y3 ıJAAA'y3 ıJ y-intercept:Anone
onAtheAline. 26.A 0A=A–8x
15.A mA=A5,AbA=A8 xA=A0
x-intercept:A(0,A0)
16.A mA=A–2AandAbA=A–6 yA=A–8(0)
yA=A0
17.A yA=A0xA+A3;AmA=A0,AbA=A y-intercept:A(0,A0)
3

2A 2A 1A
yA=A xA+A0;A mA=A ,A bA=A0 27 0A=A xA–A1
18 3
3 3 .
. xA=A3
19.A 14xA+A7AyA=A21 x-intercept:A(3,A0)
1A
7AyA=A—14xA+A21 yA =A (0)A–A1
3
yA =A—2xA+A3
yA=A–1
y-intercept:A(0,A–1)
20 xA—AyA =A3 y
. —yA =A—xA+A3
yA =AxA—A3
(3, 0) x
21.AAA 3xA=A5
5 (0, –1)
xA=A
3
1 2
28. WhenAxA=A0,AyA=A0.
22 – xA+ yA =A10
. 2 3 WhenAxA=A1,AyA=A2.
2A 1A y
yA =A xA+10
3 2
3A
yA =A xA+15 (1, 2)
4 x
(0, 0)

23. 0A=A—4xA+A8
4xA =A8
xA=A2
x-intercept:A(2,A0)
yA=A–4(0)A+A8
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