Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 4.1, Problem 68E
In a system of linear equations, the two equations have the same intercepts. Describe the possible solutions to the system.
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Check out a sample textbook solutionStudents have asked these similar questions
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
7
4
3
13
-9
8
-17
7
☐ B.
0
-8
3
☐ C.
0
☐
D.
-5
☐ E.
3
☐ F.
4
TH
Chapter 4 Solutions
Intermediate Algebra
Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Solve the system by graphing: {x3y=3x+y=5 .Ch. 4.1 - Solve the system by graphing: {x+y=13x+2y=12 .Ch. 4.1 - Solve the system by graphing: {x+y=12x+y=10 .Ch. 4.1 - Solve the system by graphing: {2x+y=6x+y=1 .Ch. 4.1 - Solve the system by graphing: {y=14x+2x+4y=8 .Ch. 4.1 - Solve the system by graphing: {y=3x16x2y=6 .Ch. 4.1 - Solve the system by graphing: {y=3x66x+2y=12 .Ch. 4.1 - Solve the system by graphing: {y=12x42x4y=16 .
Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Solve the system by substitution: {2x+y=11x+3y=9 .Ch. 4.1 - Solve the system by substitution: {2x+y=14x+3y=3 .Ch. 4.1 - Solve the system by substitution: {x4y=43x+4y=0 .Ch. 4.1 - Solve the system by substitution: {4xy=02x3y=5 .Ch. 4.1 - Solve the system by elimination: {3x+y=52x3y=7 .Ch. 4.1 - Solve the system by elimination: {4x+y=52x2y=2 .Ch. 4.1 - Solve the system by elimination: {3x4y=95x+3y=14 .Ch. 4.1 - Solve the system by elimination: {7x+8y=43x5y=27 .Ch. 4.1 - Solve the system by elimination: {13x12y=134xy=52...Ch. 4.1 - Solve the system by elimination:...Ch. 4.1 - Solve the system by elimination: {5x3y=15y=5+53x .Ch. 4.1 - Solve the system by elimination: {x+2y=6y=12x+3 .Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, solve the systems of...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In the following exercises, decide whether it...Ch. 4.1 - In a system of linear equations, the two equations...Ch. 4.1 - Solve the system of equations by substitution and...Ch. 4.1 - Solve the system of equations by elimination and...Ch. 4.1 - Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.2 - The sum of two numbers is 10. One number is 4 less...Ch. 4.2 - The sum of two numbers is 6 . One number is 10...Ch. 4.2 - Geraldine has been offered positions by two...Ch. 4.2 - Kenneth currently sells suits for company A at a...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - 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In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - Write an application problem similar to Example...Ch. 4.2 - Write a uniform motion problem similar to Example...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve: Leon...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - 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The manufacturer of an energy drink spends $1.20...Ch. 4.3 - The manufacturer of a water bottle spends $5 to...Ch. 4.3 - Take a handful of two types of coins, and write a...Ch. 4.3 - In Example 4.28, we used elimination to solve the...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve: {3x4z=12y+3z=22x+3y=6 .Ch. 4.4 - Solve: {4x3z=53y+2z=73x+4y=6 .Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - The community college fine arts department sold...Ch. 4.4 - The community college soccer team sold three kinds...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In your own words explain the steps to solve a...Ch. 4.4 - How can you tell when a system of three linear...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.5 - Solve the system of equations {3x+y=12x=y8 by...Ch. 4.6 - Evaluate the determinate of (a) [5324] (b)[4607] .Ch. 4.6 - Evaluate the determinate of (a) [1324] (b) [7350]...Ch. 4.6 - For the determinant |114021233| , find and then...Ch. 4.6 - For the determinant |210301123| , find and then...Ch. 4.6 - Evaluate the determinant |324012231| , by...Ch. 4.6 - Evaluate the determinant |322214103| , by...Ch. 4.6 - Evaluate the determinant |213034343| by expanding...Ch. 4.6 - Evaluate the determinant |213122440| by expanding...Ch. 4.6 - Solve using Cramer’s rule: {3x+y=32x+3y=6 .Ch. 4.6 - Solve using Cramer’s rule: {x+y=22x+y=4 .Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Determine whether the points (3,2),(5,3), and...Ch. 4.6 - Determine whether the points (4,1),(6,2) and (2,4)...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - Explain the difference between a square matrix and...Ch. 4.6 - Explain what is meant by the minor of an entry in...Ch. 4.6 - Explain how to decide which row or column you will...Ch. 4.6 - Explain the steps for solving a system of...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Solve the system by graphing: {y3x+2yx1 .Ch. 4.7 - Solve the system by graphing: {y 1 2x+3y3x4 .Ch. 4.7 - Solve the system by graphing: {x+y2y 2 3x1 .Ch. 4.7 - Solve the system by graphing: {3x2y6y 1 4x+5 .Ch. 4.7 - Solve the system by graphing: {y3x2y1 .Ch. 4.7 - Solve the system by graphing: {x4x2y4 .Ch. 4.7 - Solve the system by graphing: {3x2y12y 3 2x+1 .Ch. 4.7 - Solve the system by graphing: {x+3y8y 1 3x2 .Ch. 4.7 - Solve the system by graphing: {y3x+13x+y4 .Ch. 4.7 - Solve the system by graphing: {y 1 4x+2x+4y4 .Ch. 4.7 - A trailer can carry a maximum weight of 160 pounds...Ch. 4.7 - Mary needs to purchase supplies of answer sheets...Ch. 4.7 - Tension needs to eat at least an extra 1,000...Ch. 4.7 - Philip’s doctor tells him he should add at least...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - 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In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - 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