SOLUTION: Please help me solve this system of equations using the Gauss-Jordan method. 4x - 3y +z +w = 21 -2x - y + 2z + 7w = 2 10x - 5z - 20w = 15

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Question 315481: Please help me solve this system of equations using the Gauss-Jordan method.

4x - 3y +z +w = 21
-2x - y + 2z + 7w = 2
10x - 5z - 20w = 15

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Write the augmented matrix:


1*R1+2*R2->R2



-5*R1+2*R3->R3



*R2->R2
*R3->R3



 3*R2+1*R1->R1
-1*R2+1*R3->R3



*R1->R1



Write as a system of equations:



Simplify



Solve only for the first two variables, since there are
only two equations:



Let z be arbitrary variable  and let w be arbitrary variable 

 

or

(x, y, z, w) = (,-5+a+3b,a,b)

Edwin

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