Cápsulas Matemáticas - Ecuaciones Lineales II
Updated: January 19, 2025
Summary
The video demonstrates solving linear equations using basic operations such as addition, subtraction, multiplication, and division. Examples provided include equations like 5x - 12 = 18, 4x + 7 = 28, and 3 + 12x - 5 = 16. By applying inverse operations like addition and division, the video showcases how to find the value of x in equations such as 5x - 12 = 18 (resulting in x = 6) and 4x + 7 = 28 (resulting in x = 5). Through simplifying like terms and basic operations, the video further solves equations like 12x - 8 = 27 (x = 5) and 3 + 12x - 5 = 16 (x = 1). Overall, the video offers clear and practical guidance on solving linear equations efficiently.
Ecuaciones Lineales - Parte 2
Se resuelven ecuaciones lineales aplicando operaciones básicas como suma, resta, multiplicación y división. Se presentan ejemplos como 5x - 12 = 18, 4x + 7 = 28, y 3 + 12x - 5 = 16.
Ejemplo 1: 5x - 12 = 18
Se resuelve la ecuación 5x - 12 = 18 utilizando operaciones inversas, como la suma y la división, para encontrar el valor de x que es igual a 6.
Ejemplo 2: 4x + 7 = 28
Se resuelve la ecuación 4x + 7 = 28 aplicando operaciones inversas como la resta y la división, obteniendo como resultado que x es igual a 5.
Ejemplo 3: 12x - 8 = 27
Se resuelve la ecuación 12x - 8 = 27 simplificando términos semejantes y aplicando operaciones básicas para encontrar que x es igual a 5.
Ejemplo 4: 3 + 12x - 5 = 16
Se resuelve la ecuación 3 + 12x - 5 = 16 realizando operaciones matemáticas para encontrar el valor de x, que en este caso es 1.
FAQ
Q: What are some basic operations used to solve linear equations?
A: Basic operations such as addition, subtraction, multiplication, and division are used to solve linear equations.
Q: Can you provide examples of linear equations mentioned in the file?
A: Examples include 5x - 12 = 18, 4x + 7 = 28, and 3 + 12x - 5 = 16.
Q: How is the equation 5x - 12 = 18 solved?
A: The equation 5x - 12 = 18 is solved by using inverse operations like addition and division to find the value of x, which in this case is 6.
Q: What is the result of solving the equation 4x + 7 = 28?
A: Solving the equation 4x + 7 = 28 involves using inverse operations such as subtraction and division, resulting in x equaling 5.
Q: How is the equation 12x - 8 = 27 solved?
A: The equation 12x - 8 = 27 is solved by simplifying like terms and applying basic operations to find that x equals 5.
Q: By performing mathematical operations, how is the value of x found in the equation 3 + 12x - 5 = 16?
A: By performing mathematical operations, the value of x in the equation 3 + 12x - 5 = 16 is found to be 1.
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