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Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112 x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4

Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112 x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 7PT: Solve for x:3(2x5)3(x7)=2x9.
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In Problems 19–56, solve each system of equations. If the system has no solution, say that it is inconsistent. For Problems 19–30, graph
the lines of the system

Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112
Transcribed Image Text:Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112
x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4
Transcribed Image Text:x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4
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