SOLUTION: Solve the following system of equations using Gauss-Jordan elimination. Show all your steps. x + 2y + 3z = 1 y + 4z = 2 −x + y + z = 3

Algebra.Com
Question 1017017: Solve the following system of equations using
Gauss-Jordan elimination. Show all your steps.
x + 2y + 3z = 1
y + 4z = 2
−x + y + z = 3
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
x + 2y + 3z = 1
y + 4z = 2
-x + y + z = 3




R1+R3->R3



-3R2+R3->R3

             0 -3 -12 | -6
             0  3   4 |  4
             -------------
             0  0  -8 | -2



(-1/8)R3->R3




-2R2+R1->R1

             0 -2 -8 | -4
             1  2  3 |  1
             -------------
             1  0 -5 | -3

   

5R3+R1->R1

             0  0   5 | 5/4
             1  0  -5 | -3
             --------------
             1  0   0 |-7/4

   
             
-4R3+R2->R2

             0  0  -4 | -1
             0  1   4 |  2
             --------------
             0  1   0 |  1









Edwin
RELATED QUESTIONS

Solve the system of linear equations using the Gauss-Jordan elimination method. 3x +... (answered by solver91311)
. Solve the following system of equations using Gauss-Jordan elimination. Show all your... (answered by Theo)
Solve the system of linear equations using the Gauss-Jordan elimination method. x + y (answered by richwmiller)
Solve the system of linear equations using the Gauss-Jordan elimination method. 2x +... (answered by richwmiller)
Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x +... (answered by MathLover1)
Solve the following system of equations using Gaussian elimination (with a matrix) and... (answered by checkley71,richwmiller)
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If... (answered by richwmiller)
The system of linear equations has a unique solution. Find the solution using Gaussian... (answered by ewatrrr)
Use Gauss-Jordan Elimination to solve the following system of equations. 4x + 8y... (answered by richwmiller)