SOLUTION: Solve the following set of equations by using matrix method 4x+2y+3z = 4 5x+6y+z= 2 2x+3y= -1

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Question 1149664: Solve the following set of equations by using matrix method
4x+2y+3z = 4
5x+6y+z= 2
2x+3y= -1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given the following system of equations:
4+x%2B++2+y%2B++3+z=+4
5+x+%2B++6+y%2B++++z++=+2+
2+x%2B++3+y=+-1

using Gauss-Jordan elimination:

Your matrix


Make the pivot in the 1st column by dividing the 1st row by 4



Eliminate the 1st column


Make the pivot in the 2nd column by dividing the 2nd row by 7%2F2



Eliminate the 2nd column


Make the pivot in the 3rd column by dividing the 3rd row by 1%2F14


Eliminate the 3rd column





The solutions are:
x=22
y=-15
+z=-18