SOLUTION: 3x+y+z=1 6x+3y-2z=23 -x-5y-4z=-9

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Question 1002470: 3x+y+z=1
6x+3y-2z=23
-x-5y-4z=-9
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
3x+y+z=1
6x+3y-2z=23
-x-5y-4z=-9


Eliminate x from the 2nd equation by 
multiplying the 1st equation by -2 and
then adding it to the 2nd equation: 





Eliminate x from the 3rd equation by 
multiplying the 3rd equation by 3 and
then adding the 1st equation to it:





Eliminate y from the 3rd equation by 
multiplying the 2nd equation by 14 and
then adding it to the 3rd equation:





Solve the 3rd equation for z




Substitute z=-4 into the 2nd equation






Substitute y=5 and z=-4 in the 1st equation







Solution:  (x,y,z) = (0,5,-4)

Edwin
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