How do you solve using gaussian elimination or gauss-jordan elimination, #3x + y - 3z =3#, #x + 3y - z = -7#, #3x + 3y - z = -1#?

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Answer 1 · 2017-12-13T21:58:27

#x=3#, #y=-3# and #z=1#

From second equation, #z=x+3y+7#

I took value of #z# into third one,

#3x+3y-(x+3y+7)=-1#

#2x-7=-1#

#2x=6#, so #x=3#

After taking value of #z# into first one,

#3x+y-3*(x+3y+7)=3#

#-8y-21=3#

#-8y=24#, so #y=-3#

Thus #z=x+3y+7=3+3*(-3)+7=3-9+7=1#