Chapters 1 - 12, Complete 13th Edition by Larry J. Goldstein, Finite Mathematics & Its Applications SOLUTION MANUAL 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 2 Exercises 1.1 Chapter 1 6. Left 1, down 5 2 1. Right 2, up 3 y y x (–1, – 5 ) 2. Left 1, up 4 y 7. Left 20, up 40 y x x 3. Down 2 y 8. Right 25, up 30 y x x 4. Right 2 y x 9. Point Q is 2 units to the left and 2 units up or (—2, 2). 10. Point P is 3 units to the right and 2 units down or (3,—2). 5. Left 2, up 1 11. 1 —2(1) + (3) = —2 +1 = —1so yes the point is 3 on the line. 1 y 12. —2(2) + (6) = —1 is false, so no the point is not 3 on the line x Copyright © 2023 Pearson Education, Inc. 1-1 (2, 3) (–1, 4) (0, –2) (2, 0) (–2, 1) (–20, 40) (25, 30) x Chapter 1: Linear Equations and Straight Lines ISM: Finite Math Copyright © 2023 Pearson Education, Inc. 1-2 2 1 13 —2x + y = —1 Substitute the x and y . 3 coordinates of the point into the equation: 24. 0 = 5 no solution x-intercept: none f1 h f1ıh When x = 0, y = 5 ' ,3ı→— 2' +1(3)=—1 →— 1+1= —1 is y-intercept: (0, 5) 'y 2 ı 'y ı 3 J 2J a false statement. So no the point is not on theline. 25. When y = 0, x = 7 x-intercept: (7, 0) f 1ıh f1ıh 0 = 7 1. 4 —2' +' (—1) =—1 is true so yes the point is 'y3ıJ 'y3ıJ on the line. no solution y-intercept: none 26. 0 = –8x 15. m = 5, b = 8 16. m = –2 and b = –6 17. y = 0x + 3; m = 0, b = 3 x = 0 x-intercept: (0, 0) y = –8(0) y = 0 y-intercept: (0, 0) 2 18 y = x +0; m = 2 , b = 0 27 0 = 1 x – 1 3 . 3 3 19. 14x +7 y = 21 7 y =—14x +21 . x = 3 x-intercept: (3, 0) y = 1 (0) – 1 3 20 x — y = 3 y = —2x +3 y = –1 y-intercept: (0, –1) y . —y =—x +3 y = x —3 21. 3x = 5 x = 5 3 1 2 x 28. When x = 0, y = 0. 22 – x + . y =10 3 2 y = 1 x +10 3 2 y = 3 x +15 4 When x = 1, y = 2. x 23. 0 = —4x +8 4x = 8 x = 2 x-intercept: (2, 0) y = –4(0) + 8 y = 8 y-intercept: (0, 8) (3, 0) (0, –1) y (1, 2) (0, 0)