Taller de ecuaciones Sistema 2x2

LIC. MARIORY FERREIRA MOJICA    ALGEBRA LINEAL[pic 1]

[pic 2]

[pic 3]ADMINISTRACIÓN DE EMPRESAS

Taller de ecuaciones 

Asignatura:

Algebra Lineal 

NCR:15290

Presenta:

Yenny Fernanda ID: 728932

Carol Stefanny Piñeros Diaz ID: 726879

Duban Ferley Reyes Medina ID:733576

Docente:

Villavicencio, Meta

TALLER: SISTEMA DE ECUACIONES LINEALES 2X2

1. X + 6Y = 27                                
2. 7X – 3Y = 9                                

Métodos de Sistema de 2x2

• Método de Igualación

1. 3X - 2Y = - 2        

      5X + 8Y = - 60        

3x - 2y = - 2         5x + 8y = -60

3x = - 2 + 2y        5x = -60 – 8y

X = -2 + 2y                         X = -60 – 8y[pic 4][pic 5][pic 6][pic 7]

      3        5

5 ( -2 + 2y ) = 3 ( -60 – 8y )

-10 + 10y = - 180 – 24y

10y + 24y = -180 + 10

34y = - 170

Y = - 170        Y = -5 [pic 8]

          34

X = - 2 + 2 y [pic 9]

3

X = - 2 + 2 ( -5 ) [pic 10]

3

X = -2 – 10 [pic 11]

3

X =   - 12         X = - 4 [pic 12]

3

Verificación

3x – 2y = - 2         5x + 8y = -60

3 ( -4 ) -2 ( -5 ) = - 2        5 ( -4 ) + 8 ( -5 ) = -60

-12 + 10 = -2        -20 – 40 = -60

-2 = -2          -60 = -60

Método de Sustitución

5x + 8y = -60        X = -2 + 2y[pic 13]

        3

[pic 14][pic 15]

5    -2 + 2y     + 8y = -60 [pic 16]

           3

-10 + 10y         8 = -60 [pic 17][pic 18][pic 19][pic 20]

       3        1[pic 21]

-10 + 10y + 24y = -60 [pic 22]

3

34y – 10 = - 180

34y = -180 + 10

Y = - 170         Y= - 5 [pic 23]

          34

X = -2 + 2y         X = -2 + 2 ( -5 )         X = -2 – 10         X= -12   = -4 [pic 24][pic 25][pic 26][pic 27]

            3         3         3         3

Método Determinante 

         3                -2 [pic 28][pic 29][pic 30][pic 31][pic 32]

                                        = Det         = 24 – ( -10) = 34[pic 33]

...