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Answer 1 · 2017-08-08T11:33:51

The solution is #((x),(y))=((5),(2))#

We perform the Gauss Jordan elimination with the augmented matrix

#M=((3,4,:,23),(5,3,:,31))#

We perform the row operations

#R2larr3R2-5R1#, #=>#, #((3,4,:,23),(0,-11,:,-22))#

#R2larr(R2)/(-11)#, #=>#, #((3,4,:,23),(0,1,:,2))#

#R1larrR1-4R2#, #=>#, #((3,0,:,15),(0,1,:,2))#

#R1larr(R1)/(3)#, #=>#, #((1,0,:,5),(0,1,:,2))#