olve the system of equations. If a system has one unique solution plutions to the system, and determine whether the system is incon 4x=3y-2z-19 -2(x+y) =-3y+z+9 5(x-y)+z=x-4y-19 The system has one solution. The solution set is O The system has no solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 74E
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Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determ
solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
4x= 3y-2z-19
-2(x+y) =-3y+z+9
5(x-y)+z=x-4y-19
The system has one solution.
The solution set is
O The system has no solution.
O The system is inconsistent.
The equations are dependent.
O The system has infinitely many solutions.
O The system is inconsistent.
O The equations are dependent.
Transcribed Image Text:Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determ solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 4x= 3y-2z-19 -2(x+y) =-3y+z+9 5(x-y)+z=x-4y-19 The system has one solution. The solution set is O The system has no solution. O The system is inconsistent. The equations are dependent. O The system has infinitely many solutions. O The system is inconsistent. O The equations are dependent.
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