Intermediate Algebra (8th Edition)
8th Edition
ISBN: 9780134178967
Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford
Publisher: PEARSON
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Chapter 4, Problem 30RP
Use a system of linear equations to solve each of the following exercises.
Transportation Logistics A church youth group is planning a trip to Mount Washington. A total of 127 people need rides. The church has available buses that hold forty passengers, and several parents have volunteered station wagons that hold eight passengers or sedans that hold five passengers. The youth leader is planning to use nine vehicles to transport the people. One parent said that if they didn’t use any buses, tripled the number of station wagons, and doubled the number of sedans, they would be able to transport 126 people. How many buses, station wagons, and sedans are they planning to use if they use nine vehicles?
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Question 1. Solve the system
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x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
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= 1
=-2
= 1
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= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
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Question 5. Let A, B, C ben x n-matrices, S is nonsigular. If A = S-1 BS, show that
det (A) = det (B)
Question 6. For what values of k is the matrix A = (2- k
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-1
2) singular?
k
Chapter 4 Solutions
Intermediate Algebra (8th Edition)
Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4
3. How...Ch. 4.1 - Verbal and Writing Skills, Exercises 1-4 When you...Ch. 4.1 - Determine whether the given ordered pair is a...Ch. 4.1 - Prob. 6ECh. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Prob. 8ECh. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Solve the system of equations by graphing Check...
Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Solve the system of equations by graphing. Check...Ch. 4.1 - Find the solution to each system by the...Ch. 4.1 - Find the solution to each system by the...Ch. 4.1 - Find the solution to each system by the...Ch. 4.1 - Prob. 18ECh. 4.1 - Find the solution to each system by the...Ch. 4.1 - Prob. 20ECh. 4.1 - Find the solution to each system by the...Ch. 4.1 - Find the solution to each system by the...Ch. 4.1 - Find the solution to each system by the addition...Ch. 4.1 - Prob. 24ECh. 4.1 - Find the solution to each system by the addition...Ch. 4.1 - Prob. 26ECh. 4.1 - Find the solution to each system by the addition...Ch. 4.1 - Find the solution to each system by the addition...Ch. 4.1 - Find the solution to each system by the addition...Ch. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - Prob. 39ECh. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - If possible, solve each system of equations. Use...Ch. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 1QQCh. 4.1 - Prob. 2QQCh. 4.1 - Prob. 3QQCh. 4.1 - Prob. 4QQCh. 4.2 - 1. Determine whether (2, 1, —4) is a solution to...Ch. 4.2 - Determine whether ( − 2 , 3 , 0 ) is a solution to...Ch. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Solve each system. 2 x + 2 z = − 7 + 3 y 3 2 x + y...Ch. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Solve each system. − 0.1 a + 0.2 b + 0.3 c = 0.1...Ch. 4.2 - Prob. 17ECh. 4.2 - Find the solution for each system of equations....Ch. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 1QQCh. 4.2 - Prob. 2QQCh. 4.2 - Prob. 3QQCh. 4.2 - Prob. 4QQCh. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Prob. 8ECh. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Prob. 10ECh. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Prob. 12ECh. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Use a system of two linear equations to solve...Ch. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 1QQCh. 4.3 - Prob. 2QQCh. 4.3 - Prob. 3QQCh. 4.3 - Prob. 4QQCh. 4.4 - Verbal and Writing Skills, Exercises 1-4 In the...Ch. 4.4 - Prob. 2ECh. 4.4 - Verbal and Writing Skills, Exercises 1-4 Stephanie...Ch. 4.4 - Verbal and Writing Skills, Exercises 1-4 John...Ch. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Prob. 14ECh. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Graph the solution of each of the following...Ch. 4.4 - Prob. 20ECh. 4.4 - Graph the solution of the following systems of...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Graph the solution of the following systems of...Ch. 4.4 - Prob. 25ECh. 4.4 - Graph the solution of the following systems of...Ch. 4.4 - Graph the region determined by each of the...Ch. 4.4 - Prob. 28ECh. 4.4 - Hint: In exercises 29 and 30, it the coordinates...Ch. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 1QQCh. 4.4 - Prob. 2QQCh. 4.4 - Prob. 3QQCh. 4.4 - Prob. 4QQCh. 4 - Solve the following systems by graphing.
1.
Ch. 4 - Prob. 2RPCh. 4 - Solve the following systems by substitution.
3.
Ch. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Solve the following systems by addition. 7 x − 4 y...Ch. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 11RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 15RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RPCh. 4 - Prob. 23RPCh. 4 - Prob. 24RPCh. 4 - Prob. 25RPCh. 4 - Prob. 26RPCh. 4 - Prob. 27RPCh. 4 - Prob. 28RPCh. 4 - Prob. 29RPCh. 4 - Use a system of linear equations to solve each of...Ch. 4 - Solve by any appropriate method. x − y = 1 5 x + y...Ch. 4 - Prob. 32RPCh. 4 - Prob. 33RPCh. 4 - Prob. 34RPCh. 4 - Prob. 35RPCh. 4 - Prob. 36RPCh. 4 - Prob. 37RPCh. 4 - Prob. 38RPCh. 4 - Prob. 39RPCh. 4 - Prob. 40RPCh. 4 - Prob. 41RPCh. 4 - Prob. 42RPCh. 4 - Prob. 43RPCh. 4 - Prob. 44RPCh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14T
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