SOLUTION: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. x + y + z = 4 2x − 3y + 2z =

Algebra ->  Matrices-and-determiminant -> SOLUTION: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. x + y + z = 4 2x − 3y + 2z =      Log On


   

Question 910862: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.

x + y + z = 4
2x − 3y + 2z = −2
4x + y − 3z = 3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x + y + z = 4
-(4x + y − 3z = 3)
-3x + 4z = 1
.....
2x − 3y + 2z = −2
x + y + z = 4 |multiplying thru by 3 to eliminate the x variable by adding the Eqs
5x + 5z = 10
x + z = 2 |multiplying thru by 3 to eliminate the x variable by adding the Eqs
-3x + 4z = 1
7z = 7
z = 1
will Let You finish it Up finding ordered triple (1, 2, 1)