Solution Manual for Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein | Chapters 1–12 Complete | Verified Solutions | Updated 2026

Contents
SOLUTION MANUAL Chapter 1: Linear Equations and Straight Lines
2 2 2 2 2 1–1

Finite Mathematics & Its Applications Chapter 2: Matrices
2 2–1

Chapter 3: Linear Programming, A Geometric Approach
2 2 2 2 2 3–1
13th Edition by Larry J. Goldstein, Chapter 4: The Simplex Method
2 2 2 4–1

Chapter 5: Sets and Counting 5–1
Chapters 1 - 12, Complete 2 2




Chapter 6: Probability
2
2




6–1

Chapter 7: Probability and Statistics
2 2 2 7–1

Chapter 8: Markov Processes
2 2 8–1

Chapter 9: The Theory of Games
2 2 2 2 9–1

Chapter 10: The Mathematics of Finance
2 2 2 2 10–1

Chapter 11: Logic
2 11–1

Chapter 12: Difference Equations and Mathematical Models
2 2 2 2 2 12–1

, Chapter21:2Linear2Equations2and2Straight2Lines ISM:2Finite2Math


12 24.2 02=25
Chapter 1 2
13 —2x2+2 y2 =2—12 Substitute2 the2 x2 and2 y no2solution
3
. x-
Exercises21.1 5 coordinates2of2the2point2into2the2equation:
6.2 Left21,2down2 f 12 ıh2 f h intercept:2none2
2 ' ,23 →2—2 ' 1 ı +212(3)2=2—12→2—1+12=2—12 is When2x2=20,2y2=252
1. Right22,2up23 y y' ı '2 ı
y
y-intercept:2(0,25)
2222 J y22J 3
a2false2statement.2So2no2the2point2is2not2on2t 25.2When2y2=20,2x2=272
he2line. x-
(2,23)
x f 1h f1 h intercept:2(7,20)202
x
14 —2 ' ı + ' ı (—1)2=2—12 is2true2so2yes2the2point2is =27
(–1, – 52 )
2 2
2
.
no2solution
'y3 ıJ222'y3 ıJ y-intercept:2none
on2the2line. 26.2 02=2–8x
7.2 Left220,2up240 15.2 m2=25,2b2=28 x2=20
2. Left21,2up24 y
y x-intercept:2(0,20)
16.2 m2=2–22and2b2=2–6 y2=2–8(0)
(–20,240) y2=20
(–1,24)
17.2 y2=20x2+23;2m2=20,2b2=23 y-intercept:2(0,20)
x
x 12
22 22 02=2 x2–21
18 y2=2 x2+20;2 m2=2 ,2 b2=20 27
3 3 . 3
. x2=23
19.2 14x2+272y2=221 x-intercept:2(3,20)
8.2 Right225,2up230 12
3.2 Down22 72y2=2—14x2+221 y2 =2 (0)2–21
y
y 3
y2 =2—2x2+23
y2=2–1
y-intercept:2(0,2–1)
(25,230) 20 x2—2y2 =23 y
x . —y2 =2—x2+23
x
(0,2–2) y2 =2x2—23
(3,20)
21.222 3x2=25 x
5 (0,2–1)
x2=2
9. Point2Q2is222units2to2the2left2and222units2up2or 3
4. Right22
y (—2,22).
1 2
28. When2x2=20,2y2=20.
10. Point2P2is232units2to2the2right2and222units2down2or 22 – x2+ y2 =210
. 2 3 When2x2=21,2y2=22.
(3,—2). 22 12 y
y2 =2 x2+10
x
(2,20) 3 2
12 32
11. —2(1)2+2 (3)2=2—22+12=2—1so2 yes2 the2 point2 is y2 =2 x2+15 (1,22)
3 4
on2the2line. (0,20) x

23. 02=2—4x2+28
5. Left22,2up21 12
y 12. —2(2)2+2 (6)2=2—12is2 false,2 so2 no2 the2 point2 is2 not 4x2 =28
3
on2the2line x2=22
x-intercept:2(2,20)
y2=2–4(0)2+28
(–2,21)
x y2=28
y-intercept:2(0,28)
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