SOLUTION MANUAL
Finite Mathematics & Its Applications
13th Edition by Goldstein Chapters 1 - 12
, Contents
Chapter 1: Linear Equations and Straight Lines
SO SO SO SO SO 1–1
Chapter 2: Matrices
SO 2–1
Chapter 3: Linear Programming, A Geometric Approach
SO SO SO SO SO 3–1
Chapter 4: The Simplex Method
SO SO SO 4–1
Chapter 5:
SO Sets and Counting
SO SO 5–1
Chapter 6: Probability
SO 6–1
Chapter 7: Probability and Statistics
SO SO SO 7–1
Chapter 8:
SO Markov Processes SO 8–1
Chapter 9: The Theory of Games
SO SO SO SO 9–1
Chapter 10: The Mathematics of Finance
SO SO SO SO 10–1
Chapter 11: Logic
SO 11–1
Chapter 12: Difference Equations and Mathematical Models
SO SO SO SO SO 12–1
, Chapter 1
SO
Exercises 1.1
SO 5
6. Left 1, down
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2
1. Right 2, up 3 SO SO SO
y
y
(2, 3)
SO
x
x
(–1, – 52)
S O SO
SO
7. Left 20, up 40
2. Left 1, up 4
S O SO SO SO
SO SO SO
y
y
(–20, 40)
SO
(–1, 4) SO
x
x
8. Right 25, up 30
3. Down 2
S O SO SO SO
S O SO
y
y
(25, 30) SO
x
x
(0, –2) SO
9. Point Q is 2 units to the left and 2 units up or
4. Right 2
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SO
y (—2, 2). SO
10. Point P is 3 units to the right and 2 units down or
SO SO SO SO SO SO SO SO SO SO SO SO
(3,—2).
x
(2, 0)
SO
1
11. —2(1) + (3) = —2 +1 = —1so yes the point is
SO
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3
on the line. SO SO
5. Left 2, up 1 1
12. —2(2) + (6) = —1 is false, so no the point is not
SO
SO SO SO
y SO SO SO SO SO S O SO SO S O SO S O SO
3
on the line SO SO
(–2, 1)
x
SO
Copyright © 2023 Pearson Education, Inc.
SO SO SO SO SO
1-1
, Chapter 1: Linear Equations and Straight Lines
SO SO SO SO SO SO ISM: Finite Math
SO SO
1 24. 0 = 5
S O SO SO
13. —2x + y = —1 Substitute the x and y
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SO SO SO SO S O SO SO S O S O
no solution SO
3 x-
coordinates of the point into the equation: SO SO SO SO SO SO
intercept: none Wh
f 1 ıh f h
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' ,3 →—2 ' 1 ı +1(3)=—1→ —1+1=—1 is en x = 0, y = 5y-
O
S
O
S O
S
ı ' ı
SO SO SO SO SO SO O
S
y'
O
S O
S SO O
S O
S O
S O
S O
S O
S S O
S O
intercept: (0, 5) SO SO
2 J y2J 3 SO SO S O O
S
a false statement. So no the point is not on theline.
SO SO SO SO SO SO SO SO SO SO O
S 25. When y = 0, x = 7x-
SO SO SO SO SO SO SO O
S
f 1 h f1 h intercept: (7, 0)0 SO SO O
S SO
—2 ' ı + ' ı(—1) =—1 is true so yes the point is SO O
S S O SO SO SO SO SO SO =7 SO
14. no solution SO
'y 3ıJ 'y 3ıJ SOSO SO
y-intercept: none SO
on the line. SO SO
26. 0 = –8x
S O SO SO
15. m = 5, b = 8
S O SO SO SO SO SO
x=0 SO SO
x-intercept: (0, 0) SO SO
16. m = –2 and b = –6
S O SO SO SO SO SO SO
y = –8(0)
SO SO
y=0 SO SO
17. S O y = 0x + 3; m = 0, b = 3
SO SO SO SO SO SO SO SO SO SO
y-intercept: (0, 0) SO SO
2 2 1
27. 0 = x –1
SO
y = x+0; m = , b = 0
SO O
S
18. SO SO SO SO
3
SO SO O
S O
S SO SO SO SO SO O
S
3 3
x=3 SO SO
19. 14x+7y = 21 x-intercept: (3, 0) SO SO
1
S O O
S O
S O
S SO O
S
y = (0) – 1
SO
7y =—14x +21 OS SO OS OS OS
SO SO SO SO
3
y = —2x +3
S O SO SO OS
y = –1 SO SO
y-intercept: (0, –1)
20. x— y = 3
SO SO
OS SO SO SO
y
—y = —x +3 SO SO SO OS
y = x —3 SO SO SO OS
(3, 0) SO
21. 3x =5
SOSOS O SO O
S
x
5 (0, –1) SO
x= SO SO
3
1 2 28. When x = 0, y = 0. SO SO SO SO SO SO
22. – x + y =10 OS SO OS
2 3 When x = 1, y = 2. SO SO SO SO SO SO
2 1 y
y = x +10
S O S O
SO SO SO
3 2
3
y = x +15
S O
SO SO SO
(1, 2) SO
4 x
(0, 0) SO
23. 0 = —4x +8 SO SO SO OS
4x = 8 S O SO
x=2 SO SO
x-intercept: (2, 0) SO SO
y = –4(0) + 8
SO SO SO SO
y=8 SO SO
y-intercept: (0, 8) SO SO
1-2 Copyright © 2023 Pearson Education, Inc. SO SO SO SO SO
