SOLUTION: Good morning, What steps are necessary in order to solve this system of equations using matrices (row operations). x + y

SOLUTION: Good morning, What steps are necessary in order to solve this system of equations using matrices (row operations). x + y - z = 6 3x -2y + z =-5 x +3y -2z = 14 1

Question 415746: Good morning,
What steps are necessary in order to solve this system of equations using matrices (row operations).
x + y - z = 6
3x -2y + z =-5
x +3y -2z = 14
1 -1 -1 |6
3 -2 1 |-5
1 -3 -2 |14
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
1 1 -1 6
3 -2 1 -5
1 3 -2 14
***
1 1 -1 6
4 -1 0 1 R1+R2
0 -2 1 -8 R1-R3
***
1 -1 0 -2 R3+R1
4 -1 0 1
0 -2 1 -8
***
3 0 0 3 R2-R1
4 -1 0 1
0 -2 1 -8
***
1 0 0 1 R1/3
4 -1 0 1
0 -2 1 -8
***
1 0 0 1
0 1 0 3 4R1-R2
0 -2 1 -8
***
1 0 0 1
0 1 0 3
0 0 1 -2 2R2+R3

RELATED QUESTIONS
Solve the system of equations using matrices (row operations). -4x-6y-z=-25 x-4y+3z=9... (answered by Edwin McCravy)

Solve the system of equations using matrices and row of operations. x-y+z=-4... (answered by Edwin McCravy,richwmiller)

Solve the following system of equations using matrices (row operations) -x+y+z=-2... (answered by richwmiller)

Hi! I need help with "row operations". From what I have researched and studied, I... (answered by Theo)

Using the Gauss/Jordan method to solve the system, writing all row operations between the (answered by Edwin McCravy)

solve the system of equations using matrices( row operations). if the system has no... (answered by stanbon)

1) R3 = 4r2 + r3 -7 -5 -1 | -10 6 -2 9 | 5 0 -26 2 | 28 2) Find the value of... (answered by ikleyn)

use matrices and row operations to solve the following system; 2x+y+z=4 x+y-z=-3... (answered by stanbon)

How do you solve x+2y+3z=11, x+y+z=5, 2x+2y+z=3 using Matrices (Row... (answered by richwmiller)