Question

sisitema de ecuaciones 3 incognitas eliminacion gaussiana porfavor ayudenme ​

Answer 1

Respuesta:

x=-4

y=1

z=7

Explicación paso a paso:

Sumamos (1)+(2)+(3)

x-3y+4z=21 ....(1)

3x+y-z=-18 ....(2)

2x-y+3z=12 ....(3)

__________

6x-3y+6z=15

Sacamos tercia:

2x-y+2z=5 ....(4)

Sumamos (3)+(2):

2x-y+3z=12

3x+y-z=-18

__________

5x+2z=-6 -> 2z= -6-5x

2(7)=-6-5x

14+6= -5x

20=-5x -> x=-4

Restamos (3)-(4):

2x-y+3z=12

2x-y+2z=5

__________

z=7

Reemplazamos en (4):

2x-y+2z=5

2(-4)-y+2(7)=5

-8-y+14=5

-y+6=5

1=y