Question

Para resoulver o sistema:

x-2y+2+z=0
2x+y-3z= -5
4x-y-z= -1

Answer 1

Resposta:

(x,y,z)= (9/5 , 4 , 21/5)

Explicação passo-a-passo:

{x-2y+2+z=0

{2x+y-3z= -5

{4x-y-z= -1

↓

{x-2y+z= -2

{2x+y-3z= -5

{4x-y-z= -1

↓

{x= -2+2y-z

{2x+y-3z= -5

{4x-y-z= -1

↓

{2(-2+2y-z)+y-3z= -5

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

↓

{5y-5z= -1

{7y-5z= 7

↓

{5y-5z= -1

{-7y+5z= -7

↓

-2y= -8

↓

y=4

↓

5 × 4 -5z= -1

↓

z= 21/5

↓

x= -2+2 × 4 -21/5

↓

x= 9/5

↓

(x,y,z)= (9/5 , 4 , 21/5)