College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter7: Systems Of Equations And Inequalities
7.1 Systems Of Linear Equations: Two Variables 7.2 Systems Of Linear Equations: Three Variables 7.3 Systems Of Nonlinear Equations And Inequalities: Two Variables 7.4 Partial Fractions 7.5 Matrices And Matrix Operations 7.6 Solving Systems With Gaussian Elimination 7.7 Solving Systems With Inverses 7.8 Solving Systems With Cramer's Rule Chapter Questions Section7.1: Systems Of Linear Equations: Two Variables
Problem 1TI: Determine whether the ordered pair (8, 5) is a solution to the following system. 5x4y=202x+1=3y Problem 2TI: Solve the following system of equations by graphing. 2x5y=254x+5y=35 Problem 3TI: Solve the following system of equations by substitution. x=y+34=3x2y Problem 4TI: Solve the system of equations by addition. 2x7y=23x+y=20 Problem 5TI: Solve the system of equations by addition. 2x+3y=83x+5y=10 Problem 6TI: Solve the following system of equations in two variables. 2y2x=22y2x=6 Problem 7TI: Solve the following system of equations in two variables. y2x=5-3y+6x=15 Problem 8TI: Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were... Problem 1SE: Can a system of linear equations have exactly two solutions? Explain why or why not. Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are... Problem 3SE: If you are solving a break-even analysis and get a negative break-even point, explain what this... Problem 4SE: If you are solving a break-even analysis and there is no break-even point, explain what this means... Problem 5SE: Given a system of equations, explain at least two different methods of solving that system. Problem 6SE: For the following exercises, determine whether the given ordered pair is a solution to the system of... Problem 7SE: For the following exercises, determine whether the given ordered pair is a solution to the system of... Problem 8SE: For the following exercises, determine whether the given ordered pair is a solution to the system of... Problem 9SE: For the following exercises, determine whether the given ordered pair is a solution to the system of... Problem 10SE: For the following exercises, determine whether the given ordered pair is a solution to the system of... Problem 11SE: For the following exercises, solve each system by substitution. 11. x+3y=52x+3y=4 Problem 12SE: For the following exercises, solve each system by substitution. 12. 3x2y=185x+10y=10 Problem 13SE: For the following exercises, solve each system by substitution. 13. 4x+2y=103x+9y=0 Problem 14SE: For the following exercises, solve each system by substitution. 14. 2x+4y=3.89x5y=1.3 Problem 15SE: For the following exercises, solve each system by substitution. 15. 2x+3y=1.23x6y=1.8 Problem 16SE: For the following exercises, solve each system by substitution. 16. x0.2y=110x+2y=5 Problem 17SE: For the following exercises, solve each system by substitution. 17. 3x+5y=930x+50y=90 Problem 18SE: For the following exercises, solve each system by substitution. 18. 3x+y=212x4y=8 Problem 19SE: For the following exercises, solve each system by substitution. 19. 12x+13y=16 16x+14y=9 Problem 20SE: For the following exercises, solve each system by substitution. 20. 14x+32y=11 18x+13y=3 Problem 21SE: For the following exercises, solve each system by addition. 21. 2x+5y=427x+2y=30 Problem 22SE: For the following exercises, solve each system by addition. 22. 6x5y=342x+6y=4 Problem 23SE: For the following exercises, solve each system by addition. 23. 5xy=2.64x6y=1.4 Problem 24SE: For the following exercises, solve each system by addition. 24. 7x2y=34x+5y=3.25 Problem 25SE: For the following exercises, solve each system by addition. 25. x+2y=15x10y=6 Problem 26SE: For the following exercises, solve each system by addition. 26. 7x+6y=228x24y=8 Problem 27SE: For the following exercises, solve each system by addition. 27. 56x+14y=0 18x12y=43120 Problem 28SE: For the following exercises, solve each system by addition. 28. 13x+19y=29 12x+45y=13 Problem 29SE: For the following exercises, solve each system by addition. 29. 0.2x+0.4y=0.6x2y=3 Problem 30SE: For the following exercises, solve each system by addition. 30. 0.1x+0.2y=0.65x10y=1 Problem 31SE: For the following exercises, solve each system by any method. 31. 5x+9y=16x+2y=4 Problem 32SE: For the following exercises, solve each system by any method. 32. 6x8y=0.63x+2y=0.9 Problem 33SE: For the following exercises, solve each system by any method. 33. 5x2y=2.257x4y=3 Problem 34SE: For the following exercises, solve each system by any method. 34. x512y=5512 6x+52y=552 Problem 35SE: For the following exercises, solve each system by any method. 35. 7x4y=76 2x+4y=13 Problem 36SE: For the following exercises, solve each system by any method. 36. 3x+6y=112x+4y=9 Problem 37SE: For the following exercises, solve each system by any method. 37. 73x16y=2 216x+312y=3 Problem 38SE: For the following exercises, solve each system by any method. 38. 12x+13y=13 32x+14y=18 Problem 39SE: For the following exercises, solve each system by any method. 39. 2.2x+1.3y=0.14.2x+4.2y=2.1 Problem 40SE: For the following exercises, solve each system by any method. 40. 0.1x+0.2y=20.35x0.3y=0 Problem 41SE: For the following exercises, graph the system of equations and state whether the system is... Problem 42SE: For the following exercises, graph the system of equations and state whether the system is... Problem 43SE: For the following exercises, graph the system of equations and state whether the system is... Problem 44SE: For the following exercises, graph the system of equations and state whether the system is... Problem 45SE: For the following exercises, graph the system of equations and state whether the system is... Problem 46SE: For the following exercises, use the intersect function on a graphing device to solve each system.... Problem 47SE: For the following exercises, use the intersect function on a graphing device to solve each system.... Problem 48SE: For the following exercises, use the intersect function on a graphing device to solve each system.... Problem 49SE: For the following exercises, use the intersect function on a graphing device to solve each system.... Problem 50SE: For the following exercises, use the intersect function on a graphing device to solve each system.... Problem 51SE: For the following exercises, solve each system in terms of A,B,C,D,E, and F where A-F are nonzero... Problem 52SE: For the following exercises, solve each system in terms of A.B,C,D,E, and F where A-F are nonzero... Problem 53SE: For the following exercises, solve each system in terms of A,B,C,D,E, and F where A-F are nonzero... Problem 54SE: For the following exercises, solve each system in terms of A, B,C,D,E, and F where A-F are nonzero... Problem 55SE: For the following exercises, solve each system in terms of A, B,C,D,E, and F where A-F are nonzero... Problem 56SE: For the following exercises, solve for the desired quantity. 56. A stuffed animal business has a... Problem 57SE: For the following exercises, solve for the desired quantity. 57. A fast-food restaurant has a cost... Problem 58SE: For the following exercises, solve for the desired quantity. 58. A cell phone factory has a cost of... Problem 59SE: For the following exercises, solve for the desired quantity. 59. A musician charges C(x)=64x+20,000... Problem 60SE: For the following exercises, solve for the desired quantity. 60. A guitar factory has a cost of... Problem 61SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 62SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 63SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 64SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 65SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 66SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 67SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 68SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 69SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 70SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 71SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 72SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 73SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 74SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 75SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 76SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 77SE: For the following exercises, use a system of linear equations with two variables and two equations... Problem 1SE: Can a system of linear equations have exactly two solutions? Explain why or why not.
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Subject: Linear Algebra
4. I've posted an image of the question
Transcribed Image Text: A system of linear equations of the order 2 x 2 has the following form. Find the wrong solution for the equation
x + 2y = 4
Зх + бу %3D 12
1. Ох%3D1, у 3 1
2. О х%3D2, у-1
3. О х%3D 3. у 3D 1/2
4. О х%3D0,у- 2
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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