SOLUTION: 2x-y-z=-3 x-2y+3z=6 x+y+z=6 use matrices to solve thank you

Question 63463: 2x-y-z=-3
x-2y+3z=6
x+y+z=6
use matrices to solve thank you
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
2x-y-z=-3
x-2y+3z=6
x+y+z=6

(R1) 2 -1 -1 = -3
(R2) 1 -2 3 = 6
(R3) 1 1 1 = 6

R1 + R3 ---->R1

(R1) 3 0 0 = 3
(R2) 1 -2 3 = 6
(R3) 1 1 1 = 6

R2 - R3---->R2

(R1) 3 0 0 = 3
(R2) 0 -3 2 = 0
(R3) 1 1 1 = 6

3R3------>R3

(R1) 3 0 0 = 3
(R2) 0 -3 2 = 0
(R3) 3 3 3 = 18

R3 - R1 ------>R3

(R1) 3 0 0 = 3
(R2) 0 -3 2 = 0
(R3) 0 3 3 = 15

R3 + R2 ------->R3

(R1) 3 0 0 = 3
(R2) 0 -3 2 = 0
(R3) 0 0 5 = 15

5R2---->R2 and 2R3----->R3

(R1) 3 0 0 = 3
(R2) 0 -15 10 = 0
(R3) 0 0 10 = 30

R2-R3----R2

(R1) 3 0 0 = 3
(R2) 0 -15 0 = -30
(R3) 0 0 10 = 30

(R1)/3---->R1; (R2)/-15---->R2; (R3)/10---->R3

(R1) 1 0 0 = 1
(R2) 0 1 0 = 2
(R3) 0 0 1 = 3
x=1
y=2
z=3
Hope this helps. Have a nice holiday season---ptaylor

RELATED QUESTIONS
using matrices 2x-y-z=-3 x-2y+3z=6 x+y+z=6 thank... (answered by venugopalramana)

Use matrices to solve each system of equations. If a system has no solution, so indicate. (answered by Edwin McCravy)

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

solve system using matrices x-5y+3z=9, 2x-y+4 z=6,... (answered by Fombitz)

x+y+z=6 2x-y+z=3 x+2y-3z=-4 solve using cramers... (answered by Alan3354,Edwin McCravy)

Use matrices to solve the system of equation. 3x-2y+4z=4 x+y+z=3... (answered by Fombitz)

Use matrices to solve the system of equation. 3x-2y+4z=4 x+y+z=3... (answered by tommyt3rd)

use matrices to solve this system: 2x+3y+z=2 5x-2y-z=4... (answered by richwmiller)

Solve using matrices please x+y+z=9 3x-y+z=-1... (answered by jsmallt9)