Question

Resolver el sistema:
2x2 + 2x3 = 6
x1 -2x2 +x3 = 1
-x1 + x2 +5x3 = 10

Answer 1

Solución:

Tenemos:
        2x₂ + 2x₃ = 6
  x₁ - 2x₂ + x₃ = 1
- x₁ + x₂ + 5x₃ = 10

  x₁ - 2x₂ + x₃ = 1
- x₁ + x₂ + 5x₃ = 10
------------------------
       - x₂ + 6x₃ = 11

2x₂ + 2x₃ = 6

  x₂ + x₃ = 3
- x₂ + 6x₃ = 11
------------------
         7x₃ = 14
           x₃ = 2

  x₂ + x₃ = 3
  x₂ + 2 = 3
  x₂ = 1

  x₁ - 2x₂ + x₃ = 1
  x₁ - 2(1) + 2 = 1
  x₁ = 1

  x₁ = 1
  x₂ = 1
  x₃ = 2