Question

escalone, classifique e Resolva o sistema linear abaixo.

x + y + z = 7
2x + 3y - z = 13
3x - y + 2z = 12

SOS!

Answer 1

x + y + z = 7
2x + 3y - z = 13
3x - y + 2z = 12
_____________
x+y+z=7 .(-2)

→ -2x-2y-2z=-14

______________
x+y+z=7.(-3)

→ -3x-3y-3y=-21
______________

-2x-2y-2z=-14
2x+3y-z=13
-------------------
-2z-z=-14+13

-3z=-1

z=-1/-3

↓
z=1/3
_____________

-3x-3y-3z=-21
3x-y+2z=12
-------------------
-3y-y+-3z+2z=-21+12

-4y-z=-21+12

-4y-z=-9

-4y=-9+z

-4y=-9+1/3

-4y=-26/3

-12y=-26

y=-26/-12

↓
y=13/6

x+y+z=7

x=7-(1/3+13/6)

x=7-(2/6+13/6)

x=7-(15/6)

x=7-15/6

x=42-15/6

x=27/6

x=9/2


solução={(9/2;13/6;1/3)}


espero ter ajudado!


boa tarde!