Question

Resolver el sistema:
x – 2y + 5z = 0
-2x -2y – z = -1
4x +2y + z = 1

Answer 1

Solución:
 
Tenemos: 
  x – 2y + 5z = 0
- 2x - 2y - z = -1
  4x + 2y + z = 1

- 2x - 2y - z = -1
  4x + 2y + z = 1
---------------------
  2x = 0
    x = 0

  x – 2y + 5z = 0
  0 – 2y + 5z = 0
  5z = 2y

  4x + 2y + z = 1
  4(0) + 5z + z = 1
  6z = 1
  z = 1 / 6

5(1 / 6) = 2y
5 / 6 = 2y
y = 5 / 12

x = 0
y = 5 / 12
z = 1 / 6