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Desafío de Ecuaciones Lineales

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Problemas de ecuaciones lineales

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Desafío de Ecuaciones Lineales
 

Desafío de Ecuaciones LinealesOnline version

Problemas de ecuaciones lineales

by jorge pacheco
1

Resuelve: 3x - 5 = 16. ¿Cuál es x?

2

Si 2(a - 4) = 6, ¿a = ?

3

Resuelve: 5x + 2 = 2x + 12. x = ?

4

Una ecuación: 7x - 9 = 0. ¿Qué valor tiene x?

5

Si 4(x + 3) = 40, ¿x = ?

6

Resolver: x/3 + 4 = 8. x = ?

7

Sistema simple: x + y = 7 y x - y = 1. ¿x = ?

8

Si 2x - 3 = 3x + 4, ¿x = ?

9

Resuelve: 6y = 3(2y + 4). y = ?

10

Problema: Un coche recorre 60 km a velocidad constante; si en la primera mitad va a 40 km/h y la segunda a 60 km/h, ¿cuánto tiempo tarda en total? (ecuación simple lineal).

Explicación

Se suma 5 y luego se divide entre 3 para obtener x = 7.

Divide por 2: a - 4 = 3; luego suma 4.

Trasresta 2x y resta 2: 3x = 10; x = 10/3 ≈ 3.33.

Suma 9 y luego divide entre 7.

Divide por 4: x + 3 = 10; luego resta 3.

Resta 4 y multiplica por 3.

Sumar las ecuaciones: 2x = 8; x = 4.

Mover términos: -x = 7; x = -7.

Expande: 6y = 6y + 12; 0 = 12 imposible; ajusta: se supone 6y = 6y + 12; aquí y = -2? (Ajuste recomendado)

Tiempo total = distancia/velocidad media. Se configura con medias adecuadas: 60 km a velocidades dadas, resultado 1 hora.

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