How do you write the augmented matrix for the system of linear equations #4x-3y=-5, -x+3y=12#?

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Answer 1 · 2017-08-08T09:19:00

The solution is #((x),(y))=((28/3),(43/9))#

We perform the Gauss Jordan elimination with the augmented matrix

#M=((4,-3,:,-5),(-1,3,:,12))#

We perform the row operations

#R2larr4R2+R1#, #=>#, #((4,-3,:,-5),(0,9,:,43))#

#R2larr(R2)/9#, #=>#, #((4,-3,:,-5),(0,1,:,43/9))#

#R1larrR1+3R2#, #=>#, #((4,0,:,28/3),(0,1,:,43/9))#

#R1larr(R1)/4#, #=>#, #((1,0,:,28/12),(0,1,:,43/9))#