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State why the system of equations must have at least one solution. (Select all that apply.) 3x + 3y - 6x + 3y + 6z = 0 3x + 9y - 17z = 0 z = 0 O The system contains three equations and three variables. O During the elimination process, we obtain the equation 0 = 0. O The point (x, y, z) = (0, 0, 0) solves the system. O The point (x, y, z) = (1, 1, 1) solves the system. O During the elimination process, we obtain a false statement. Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (x, y, z) =

State why the system of equations must have at least one solution. (Select all that apply.) 3x + 3y - 6x + 3y + 6z = 0 3x + 9y - 17z = 0 z = 0 O The system contains three equations and three variables. O During the elimination process, we obtain the equation 0 = 0. O The point (x, y, z) = (0, 0, 0) solves the system. O The point (x, y, z) = (1, 1, 1) solves the system. O During the elimination process, we obtain a false statement. Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (x, y, z) =

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 33P
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State why the system of equations must have at least one solution. (Select all that apply.) Зх + Зу — бх + Зу + 3x + 9y - 17z = 0 z = 0 6z = 0 O The system contains three equations and three variables. O During the elimination process, we obtain the equation 0 = 0. O The point (x, y, z) = (0, 0, 0) solves the system. O The point (x, y, z) = (1, 1, 1) solves the system. O During the elimination process, we obtain a false statement. Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (х, у, 2) %3D
Transcribed Image Text:State why the system of equations must have at least one solution. (Select all that apply.) Зх + Зу — бх + Зу + 3x + 9y - 17z = 0 z = 0 6z = 0 O The system contains three equations and three variables. O During the elimination process, we obtain the equation 0 = 0. O The point (x, y, z) = (0, 0, 0) solves the system. O The point (x, y, z) = (1, 1, 1) solves the system. O During the elimination process, we obtain a false statement. Solve the system and determine whether it has exactly one solution or infinitely many solutions. (If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) (х, у, 2) %3D
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