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Desafío 2x2: Ecuaciones lineales

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Desafío 2x2: Ecuaciones lineales

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Quiz 2x2 con métodos de resolución

Created by

Frank Nuñez
Frank Nuñez
Colombia

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Desafío 2x2: Ecuaciones lineales
 

Desafío 2x2: Ecuaciones linealesOnline version

Quiz 2x2 con métodos de resolución

by Frank Nuñez
1

Resuelve el sistema: x+y=5 y 2x−y=1. ¿Cuáles son x e y?

2

Resuelve por eliminación: x−y=1 y 2x+y=4. ¿Cuáles son x e y?

3

Resuelve por reducción: x+y=3 y x−y=1. ¿valores de x e y?

4

Igualación: y=2x+1 y y=−x+4. ¿Cuáles son x e y?

5

Tipo de solución: sistema x+y=2 y 2x+2y=4. ¿Qué describe mejor?

6

Sustitución: x+2y=5 y 3x−y=4. ¿x e y?

7

Resuelve por sustitución: 2x−y=0 y x+y=3. ¿Cuáles son x e y?

8

Solución inconsistente: x+y=1 y 2x+2y=3. ¿Qué ocurre?

9

Solución infinita: x+y=5 y 2x+2y=10. ¿Qué pasa?

10

Problema corto: suma y diferencia de dos números es 7 y 1. ¿Cuáles son?

Explicación

Sumando las ecuaciones: 3x=6 → x=2; y=3.

Al sumar se obtiene 3x=5 → x=5/3; y= x−1 = 2/3.

Sumando ambas ecuaciones resulta 2x=4 → x=2; y=1.

Igualando: 2x+1=−x+4 → 3x=3 → x=1, y=3.

Las ecuaciones son múltiplos, dan la misma recta.

Sustituyendo x=5−2y en 3x−y=4 se obtiene y=11/7; luego x=13/7.

De 2x−y=0 → y=2x; en x+2x=3 → x=1, y=2.

La segunda ecuación es incompatible con la primera.

La segunda ecuación es múltiplo de la primera.

Sistema: x+y=7 y x−y=1 → sumando: 2x=8 → x=4; y=3.

 
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