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Reducción e Igualación: Sistemas lineales

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Reducción e Igualación: Sistemas lineales

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Resolución con despeje y sustitución

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Alex Simon
Alex Simon
Guatemala

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Reducción e Igualación: Sistemas lineales
 

Reducción e Igualación: Sistemas linealesOnline version

Resolución con despeje y sustitución

by Alex Simon
1

Solve: 2x + y = 5; x - y = 1. ¿Qué valores de x e y?

2

Solve: 3x - y = 4; x + y = 3. ¿Qué valores de x e y?

3

Solve: 2x + 3y = 12; x - y = 2. ¿Qué valores de x e y?

4

Solve: 5x + y = 9; 2x - 3y = -1. ¿Qué valores de x e y?

5

Solve: 4x - y = 7; -2x + y = -4. ¿Qué valores de x e y?

6

Solve: 6x + y = 15; 9x - y = 21. ¿Qué valores de x e y?

7

Solve: x + y = 4; 2x + 5y = 14. ¿Qué valores de x e y?

8

Solve: 3x - 4y = -2; x + y = 3. ¿Qué valores de x e y?

9

Solve: 2x + y = -1; -x + 2y = 4. ¿Qué valores de x e y?

10

Solve: 7x + 2y = 20; 3x - y = 1. ¿Qué valores de x e y?

Explicación

Despeja y sustituye para obtener (2,1).

Despeja y sustrae para obtener x=7/4, y=5/4.

Sustitución tras despejar x=y+2.

Despeja y sustituye para obtener fractions.

Suma las ecuaciones para eliminar y obtiene x.

Suma las ecuaciones tras eliminar y.

Despeja y sustituye para encontrar x=2.

Despeja y sustituye para obtener fracciones.

Despeja y resuelve por sustitución.

Sustituye y resuelve sistema por eliminación.

 
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