Gaussian Elimination

  1. Solve the following system of equations using Gaussian elimination:
    3w+10x-2y+3z=55
    w+12x-11y-z= 69
    -3w-6x-5y-10z=-47
    -3w+9x+5y+4z=-1

    Here's what I did so far:
    swap R1 and R2 (row 1 and row 2)
    -3R1+R2 (multiply row 1 by -3 and add row 2 to that product)
    3R1+R3
    3R1+R4

    Now, after that I think I may have made a mistake because I eventually get some very odd fractions that could not possibly be correct. Can somebody tell me what the steps are???
     
  2. jcsd
  3. I followed your initial steps and finishing the elimination works out just fine despite any fractions. Make sure your arithmetic is correct and don't be afraid of fractions.
     
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