Question

x + y +z = -6
2x + y-z=-1
x – 2y + 3z =-6​

Answer 1

x + y +z = -6

2x + y-z=-1

x – 2y + 3z = -6

despejamos la 1er ecuación

x+y +z= -6

x= -6-y-z

-Sustituimos x en la 2da ecuación

2x+y-z= -1

2(-6-y-z)+y-z= -1

-12-2y-2z+y-z= -1

-2y-2z+y-z= -1 +12

-y -z = 11

-Sustituimos x en la 3ra ecuación.

x – 2y + 3z =-6

-6-y-z -2y+3z= -6

-y-z -2y +3z= -6 +6

- 3y +2z =0

Sistema 2x2

-y -z = 11 -3y+2z=0

- 3y +2z =0 -3y+2(-y-11)=0

-3y-2y-22=0

-y -11=z => z= -y-11 -3y-2y=0+22

( -1 ) -y=22

y= -22

-y -z = 11

-(-22)-z=11

22-z =11

22-11=z

11=z

-Remplazamos y y z en la 1er ecuacion despejada.

x + y +z = -6

x+ (-22)+(11)= -6

x-22+11= -6

x-11= -6

x= -6 +11

x= 5

COMPROBACIÓN

x + y +z = -6

5 +(-22)+11= -6

5 -22 +11= -6

5 - 11 = -6

-6 = -6

saludoossss