State why the system of equations must have at least one solution. (Select all that apply.) 2x + 3y + 13z = 0 7x + 2y + 22z = 0 2x + 8y + 19z = 0 During the elimination process, we obtain the equation 0 = 0. The system contains three equations and three variables. O The point (x, y, z) = (0, 0, 0) solves the system. During the elimination process, we obtain a false statement. The point (x, y, z) = (1, 1, 1) solves the system. 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, z in terms of the parameter t.) >=([ (x, y, z) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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State why the system of equations must have at least one solution. (Select all that apply.)
2x + 3y + 13z = 0
7x + 2y + 22z = 0
2x + 8y + 19z = 0
O During the elimination process, we obtain the equation 0 = 0.
O The system contains three equations and three variables.
O The point (x, y, z) = (0, 0, 0) solves the system.
O During the elimination process, we obtain a false statement.
O The point (x, y, z) = (1, 1, 1) solves the system.
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, z in terms
of the parameter t.)
(x, y, z) =
Transcribed Image Text:State why the system of equations must have at least one solution. (Select all that apply.) 2x + 3y + 13z = 0 7x + 2y + 22z = 0 2x + 8y + 19z = 0 O During the elimination process, we obtain the equation 0 = 0. O The system contains three equations and three variables. O The point (x, y, z) = (0, 0, 0) solves the system. O During the elimination process, we obtain a false statement. O The point (x, y, z) = (1, 1, 1) solves the system. 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, z in terms of the parameter t.) (x, y, z) =
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