Solving each system by Eliminating

x-y-2z=4

-x+2y+z=1

-x+y-3z=11

x = 0

y = 2

z = - 3

Step-by-step explanation:

x-y-2z=4 (1)

-x+2y+z=1 (2)

-x+y-3z=11 (3)

(1) + (3) = x-y-2z + (-x) + y-3z = 4+11

= - 5z = 15

-> z = - 3

(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1

= y-z = 5

= y - (-3) = 5

-> y = 2

(1) = x-y-2z = 4

= x - 2 - 2 * (-3) = 4

-> x = 0