SOLUTION: Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down. {{{system(x[1] + 2x[3] - x[4]

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down. {{{system(x[1] + 2x[3] - x[4]      Log On

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Question 249842: Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.

No for its augmented matrix 



in row reduced echelon form becomes:



and the bottom row translates as 

0x%5B4%5D+=+1

and there is no possible value for x%5B4%5D such
that when it is multiplied by 0 you will get 1.
So there is no solution.

Edwin