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A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution O B. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. (Type an ordered pair.) X1 = 2, x2 = 4, x, +x2 = 8 x1 =2, x2 = 4, x, +x2 = 24 O C. Yes, overdetermined systems can be consistent. For example, the O D. No, overdetermined systems cannot be consistent because there are fewer free variables than equations. For example, the system of equations below has no solution. system of equations below is consistent because it has the solution (Type an ordered pair.) x1 = 2, x2 = 4, x1 +X2 = 6 x, =2, x2 = 4, x, +x, = 12

A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution O B. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. (Type an ordered pair.) X1 = 2, x2 = 4, x, +x2 = 8 x1 =2, x2 = 4, x, +x2 = 24 O C. Yes, overdetermined systems can be consistent. For example, the O D. No, overdetermined systems cannot be consistent because there are fewer free variables than equations. For example, the system of equations below has no solution. system of equations below is consistent because it has the solution (Type an ordered pair.) x1 = 2, x2 = 4, x1 +X2 = 6 x, =2, x2 = 4, x, +x, = 12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) X1 = 2, x2 = 4, x1 +x2 = 8 O B. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. x1 = 2, x, = 4, x, +X2 = 24 OC. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution O D. No, overdetermined systems cannot be consistent because there are fewer free variables than equations. For example, the system of equations below has no solution. (Type an ordered pair.) Xq = 2, x2 = 4, x1 +X2 = 6 X1 =2, x2 = 4, x, +x2 = 12
Transcribed Image Text:A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. O A. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) X1 = 2, x2 = 4, x1 +x2 = 8 O B. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. x1 = 2, x, = 4, x, +X2 = 24 OC. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution O D. No, overdetermined systems cannot be consistent because there are fewer free variables than equations. For example, the system of equations below has no solution. (Type an ordered pair.) Xq = 2, x2 = 4, x1 +X2 = 6 X1 =2, x2 = 4, x, +x2 = 12
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