Question

X+2y-z=9
3×+2y+z=15
2x+2y+2z=14

Queria saber resolve

Answer 1

Explicação passo-a-passo:

X+2y-z=9

3x+2y+z=15

2x+2y+2z=14

(1 2 -1)(1 2)

(3 2 1)(3 2)

(2 2 2)(2 2)

D=4 + 4 -6-(-4+2+12)

D=8 -6 -(-2 +12)

D=2 -(+10)

D=2-10

D=-8

(9 2 -1)(9 2)

(15 2 1)(15 2)

(14 2 2)(14 2)

Dx=36+28-30-(-28+18+60)

Dx=64-30-(-10+60)

Dx=34 -(+50)

Dx=34-50

Dx=-16

(1 9 -1)(1 9)

(3 15 1)(3 15)

(2 14 2)(2 14)

Dy= 30+18-42-(-30+14+54)

Dy=48-42-(-16+54)

Dy=6 -(+38)

Dy=6-38

Dy=-32

(1 2 9)(1 2)

(3 2 15)(3 2)

(2 2 14)(2 2)

Dz= 28+60+54-(36+30+84)

Dz=88+54-(66+84)

Dz=142-(150)

Dz=142-150

Dz= -8

__

Encontrando os valores : x , y e z

x=Dx/D=-16/-8=2

Y=Dy/D=-32/-8=4

Z=Dz/D=-8/-8=1

Resposta :

S={( 2 ; 4 ; 1)}