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Ecuaciones lineales: desafío medio

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Ecuaciones lineales: desafío medio

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Quiz de ecuaciones lineales

Created by

Sofia Condori
Sofia Condori
Bolivia

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Ecuaciones lineales: desafío medio
 

Ecuaciones lineales: desafío medioOnline version

Quiz de ecuaciones lineales

by Sofia Condori
1

Soluciona 2x + 5 = 17. ¿Cuál es x?

2

Si 3x - 7 = 2x + 9, ¿qué valor toma x?

3

Resuelve (x - 4)/3 = 5. ¿Qué x vale?

4

2(x+3)=2x+6. ¿Cuál es la solución correcta?

5

Resuelve 5x = 0. ¿Qué x es?

6

Si (1/2)x - 7 = -3, ¿cuál es x?

7

|x - 2| = 5. ¿Qué valores puede tomar x?

8

Si 3x + 4 = 3x + 10, ¿cuál es la solución?

9

Resolver el sistema: 2x + y = 7 y x - y = 1. ¿Qué valores tiene x e y?

10

Resuelve (3x+1)/(x-2) = 4. ¿Qué x es válido?

Explicación

Despeja x restando 5 y dividiendo entre 2: (17-5)/2 = 6.

Traslada 2x al otro lado y suma 7: x = 9 + 7 = 16.

Multiplica ambos lados por 3: x-4=15 → x=19.

La ecuación se simplifica a 2x+6=2x+6, identidad.

Divide ambos lados por 5: x = 0.

Suma 7 a ambos lados y multiplica por 2: x = 8.

La solución es x-2=5 o x-2=-5, es decir x=7 o x=-3.

Al restar 3x de ambos lados queda 4 = 10, imposible.

Sumando las ecuaciones se obtiene 3x = 8, luego x=2, y=3.

Multiplica: 3x+1 = 4x-8 → -x = -9 → x = 9.

 
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