How do you solve using gaussian elimination or gauss-jordan elimination, #x+2y-z=-5#, #3x+2y+3z=-7#, #5x-y-2z=-30#?

1 Answer

Answer:

#x=-5#
#y=1#
#z=2#

Explanation:

Gaussian Elimination or Gauss-Jordan elimination

#[(1,2,-1,|,-5),(3,2,3,|,-7),(5,-1,-2,|,-30)]#

#[(1,2,-1,|,-5),(0,-4,6,|,8),(0,-11,3,|,-5)]#

#[(1,2,-1,|,-5),(0,-2,3,|,4),(0,-11,3,|,-5)]#

#[(1,2,-1,|,-5),(0,-2,3,|,4),(0,-1,-12,|,-25)]#

#[(1,2,-1,|,-5),(0,1,39,|,79),(0,-1,-12,|,-25)]#

#[(1,0,-79,|,-163),(0,1,39,|,79),(0,0,27,|,54)]#

#[(1,0,0,|,-5),(0,1,0,|,1),(0,0,1,|,2)]#

#x=-5#
#y=1#
#z=2#

God bless....I hope the explanation is useful.