SOLUTION: Use Gaussian elimination to solve the system x+2y-3z=-7 2x-3y+z=14 4x+y-2z=3

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Question 1134299: Use Gaussian elimination to solve the system
x+2y-3z=-7
2x-3y+z=14
4x+y-2z=3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B2y-3z=-7
2x-3y%2Bz=14
4x%2By-2z=3

the system in matrix form:



multiply 1 row by 2 and subtract it from 2 row, and multiply 1 row by 4 and subtract it from 3 row




divide the 2 row by -7



multiply 2 row by 2 and subtract it from 1 row, and multiply 2+row by 7+and add it to 3 row



divide the 3 row by 3



multiply 3 row by 1 and add it to 1 row, and multiply 3 row by 1+and add it to 2 row



solutions:
x+=+2
y+=+-3
z=+1