SOLUTION: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.
2y + z = 9
x + y = 9
3x + 3y &#
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Question 946271: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.
2y + z = 9
x + y = 9
3x + 3y − z = 10
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
2y + z = 9
x + y = 9
3x + 3y − z = 10
0........... 2........... 1........... 9
1........... 1........... 0........... 9
3........... 3........... -1........... 10
Swapping row2 with row1
1........... 1........... 0........... 9
0........... 2........... 1........... 9
3........... 3........... -1........... 10
Add (-3 * row1) to row3
1........... 1........... 0........... 9
0........... 2........... 1........... 9
0........... 0........... -1........... -17
Divide row2 by 2
1........... 2........... 0........... 9
0........... 1........... 1/2........... 9/2
0........... 0........... -1........... -17
Divide row3 by -1
1........... 1........... 0........... 9
0........... 1........... 1/2........... 9/2
0........... 0........... 1........... 17
Add (-1/2 * row3) to row2
1........... 1........... 0........... 9
0........... 1........... 0........... -4
0........... 0........... 1........... 17
Add (-1 * row2) to row1
1........... 0........... 0........... 13
0........... 1........... 0........... -4
0........... 0........... 1........... 17
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