Question 64106This question is from textbook College Algebra with Modeling and Visualization
: Use Gaussian elimination with backward substitution to solve the system of linear equations. Write the solution as an ordered pair or ordered triple, whenever possible.
x+2y+z=3
x+y-z=3
-x-2y+z=-5
This question is from textbook College Algebra with Modeling and Visualization
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Use Gaussian elimination with backward substitution to solve the system of linear equations. Write the solution as an ordered pair or ordered triple, whenever possible.
x+2y+z=3
x+y-z=3
-x-2y+z=-5
1,2,1,3
1,1,-1,3
-1,-2,1,-5
R2=R2-R1....AND....R3=R3+R1
1,2,1,3
0,-1,-2,0
0,0,2,-2
R2=-R2.....R3=R3/2
1,2,1,3
0,1,2,0
0,0,1,-1
R2=R2-2*R3............R1=R1-R3
1,2,0,4
0,1,0,2
0,0,1,-1
R1=R1-2*R2
1,0,0,0
0,1,0,2
0,0,1,-1
HENCE X=0.....Y=2..........Z=-1
(0,2,-1)
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