Question

2x+3y-z=0
x-2y+z=5
-x+y+z=3
Escalonamento

Answer 1

(I) + (II) → 0z

(2 +1)x +(3 -2)y = 5

3x +y = 5 (II)'

(II) -(III) → 0z

(1 +1)x +(-2 -1)y = 5 -3

2x -3y = 2 (III)'

2(ii)' -3(iii)' → 0x

[2(1) -3(-3)]y = 2(5) -3(2)

[2 +9]y = 10 -6

y = 4/11

3x +4/11 = 5

33x = 55 -4

x = 51/33

-51/33 +4/11 +z = 3

-51 +12 +33z = 99

z = (99 +39)/33

z = 138/33

z = 46/11