SOLUTION: Solve the system of equations using matrices. Use Gaussian elimination with back-substituting or Gauss-Jordan elimination. x-9y-z=-17 x-y+z=7 x+y-z=3

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the system of equations using matrices. Use Gaussian elimination with back-substituting or Gauss-Jordan elimination. x-9y-z=-17 x-y+z=7 x+y-z=3      Log On


   

Question 887568: Solve the system of equations using matrices. Use Gaussian elimination with back-substituting or Gauss-Jordan elimination.
x-9y-z=-17
x-y+z=7
x+y-z=3
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!


R2=R2-R1, R3=R3-R1



R2=(1/8)R2, R3=(1/10)R3



Notice that already we have y=2.

Switch R2 and R3



R3=R3-R2


Multiply R3 by 4.



R1=R3+R1
and then
R1=9*R2+R1


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x=-7
y=2
z=8

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the system of equations using matrices. Use Gaussian elimination with back-substituting or Gauss-Jordan elimination.
x-9y-z=-17
x-y+z=7
x+y-z=3


highlight_green%28highlight_green%28x+=+5_y+=+2_z+=+4%29%29