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The solution space for this system is a subspace of Rº and so must be a line through the origin, a plane through the origin, all of R°, o the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, f parametric equations. 6x - 7y + z = 0 18x 21y 3z = 0 -12x + 14y 2z = 0 O The solution space is the line x = - 6t, y = 7t, z = 0. O The solution space is the origin only. O The solution space is the plane 7x + 6y – z =D0. O The solution space is the plane 6x - 7y + z= 0.

The solution space for this system is a subspace of Rº and so must be a line through the origin, a plane through the origin, all of R°, o the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, f parametric equations. 6x - 7y + z = 0 18x 21y 3z = 0 -12x + 14y 2z = 0 O The solution space is the line x = - 6t, y = 7t, z = 0. O The solution space is the origin only. O The solution space is the plane 7x + 6y – z =D0. O The solution space is the plane 6x - 7y + z= 0.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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The solution space for this system is a subspace of R³ and so must be a line through the origin, a plane through the origin, all of R°, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations. 6x 7y + Z = 0 18x 21у + 3z = 0 -12x 14y 2z = 0 O The solution space is the line x = - 6t, y = 7t, z = 0. O The solution space is the origin only. O The solution space is the plane 7x + 6y – z = 0. O The solution space is the plane 6x - 7y + z = 0. Activate Go to Settings O The solution space is all of R3.
Transcribed Image Text:The solution space for this system is a subspace of R³ and so must be a line through the origin, a plane through the origin, all of R°, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations. 6x 7y + Z = 0 18x 21у + 3z = 0 -12x 14y 2z = 0 O The solution space is the line x = - 6t, y = 7t, z = 0. O The solution space is the origin only. O The solution space is the plane 7x + 6y – z = 0. O The solution space is the plane 6x - 7y + z = 0. Activate Go to Settings O The solution space is all of R3.
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