Question

dado o sistema linear abaixo calcule os valores de x y e z x+ y +z= 1 2x -y + z =5
5x - 2y + 3z=12

Answer 1

x+ y +z= 1
2x -y + z =5
5x - 2y + 3z=12

x+y+z=1.(-2) →-2x-2y-2z=-2

x+y+z=1.(-5) →-5x-5y-5z=-5

2x-y+z=5
-2x-2y-2z=-2
____________

-3y-z=3


5x-2y+3z=12
-5x-5y-5z=-5
___________

-7y-2z=7



-3y-z=3
-7y-2z=7


-z=3+3y.(-1)

z=-3-3y

-7y-2.(-3-3y)=7

-7y+6y=7-6

-y=1

y=1/-1

y=-1

z=-3-3.(-1)

z=-3+3

z=0



x+ y +z= 1

x=1-y-z

x=1-(-1)-0

x=1+1

x=2


S={2,-1,0}

espero ter ajudado!
bom dia !