Question

Resolva o sistema:


A) S = { (2,-1,3) }
B) S = { (3,-1,2) }
C) S = { (-2,1,-3) }
D) S = { (2,1,-3) }
E) S = { (-2,-1,3) }

Answer 1

Resposta:

A) S = { (2,-1,3) }

Explicação passo-a-passo:

x + 2y + z = 3

x + 2 • ( - 1 ) + 3 = 3

x - 2 + 3 = 3

x + 1 = 3

x = 3 - 1

x = 2

- 7y - 3z = - 2

- 7y - 3 • 3 = - 2

- 7y - 9 = - 2

- 7y = - 2 + 9

- 7y = 7 • ( - 1 )

7y = - 7

y = - 7/7

y = - 1

- 2z = - 6 • ( - 1 )

2z = 6

z = 6/2

z = 3