Question

Solve using gaussian elimination and show ur work

Answer 1

Add the last two equations to eliminate x :

(x - 2y - 3z) + (- x + y + 2z) = 0 + 3

- y - z = 3

y + z = -3

Subtract this from the first equation to eliminate z, then solve for y :

(2y + z) - (y + z) = -8 - (-3)

y = -5

Plug this into the first equation to solve for z :

2(-5) + z = -8

z = 2

Plug both of these into either the second or third equations to solve for x :

x - 2(-5) - 3(2) = 0

x = -4