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Ecuaciones de primer grado

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Ecuaciones de primer grado

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About this activity

Dominio de ecuaciones lineales básicas

Created by

Yasmina Chocoj de Velásquez
Yasmina Chocoj de Velásquez
Guatemala

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Ecuaciones de primer grado
 

Ecuaciones de primer gradoOnline version

Dominio de ecuaciones lineales básicas

by Yasmina Chocoj de Velásquez
1

Introducción

Una ecuación de primer grado es una igualdad lineal donde la incógnita aparece de forma única y no elevada a potencias.

2

Propiedad básica

Para resolver, aplica operaciones invariantes: sumar o restar lo que esté en ambos lados para mantener la igualdad.

3

Inversas para aislar

Utiliza operaciones inversas para aislar la variable: sumar, restar, multiplicar o dividir a ambos lados.

4

Ejemplo 1

Resuelve 3x + 5 = 20. Resta 5 en ambos lados: 3x = 15.

5

Continuación del ejemplo

Divide entre 3: x = 5.

6

Ejemplo con ambos lados

Para 2x - 7 = x + 9, resta x: x - 7 = 9. Luego suma 7: x = 16.

7

Ecuaciones con fracciones

Resuelve 1/3 x - 2 = 4. Suma 2: 1/3 x = 6. Multiplica por 3: x = 18.

8

Verificación

Verifica sustituyendo la solución en la ecuación original para confirmar que ambas partes son iguales.

9

Errores comunes

No aplicar la misma operación a ambos lados o dividir por una constante que depende de la variable.

10

Práctica final

Practica con distintos ejercicios para afianzar el método: solicita, resuelve y verifica tus respuestas paso a paso.
 
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