30 Ejemplos y Ejercicios Resueltos de Despeje de Ecuaciones para Secundaria

Equation Solving Techniques

This page continues with ejercicios de despeje de x resueltos, showing advanced techniques for solving complex equations. It demonstrates how to handle equations with multiple terms and variables on both sides.

Example: The equation 3$x+3$/12 + 5$7x+9$/12 - 3$4x+3$/12 + 42/12 = 0 is solved by multiplying all terms by 12 to eliminate fractions.

The solution process involves grouping like terms, canceling out common factors, and systematically isolating the variable x. The page also includes a simpler equation to illustrate the basic principles of equation solving.

Vocabulary: "Agrupamos términos y despejamos" means "We group terms and solve for x", which is a crucial step in equation solving.

Verification and Special Cases

This final page covers additional ejercicios de despeje de ecuaciones and emphasizes the importance of verifying solutions. It includes examples of linear equations and a square root equation.

Highlight: The guide stresses the importance of checking solutions by substituting the result back into the original equation to verify its correctness.

The page demonstrates how to solve equations with square roots, showing the process of isolating the variable under the root sign and then squaring both sides to remove the root.

Example: The equation √√8x = 4 is solved by squaring both sides twice, resulting in x = 8.

This section reinforces the various techniques for despeje de ecuaciones ejercicios resueltos, providing a comprehensive overview of equation-solving methods for different types of equations.

Solving Equations

This page demonstrates the process of solving equations by isolating the variable x. It provides ejercicios de despeje de ecuaciones resueltos with detailed steps. The first example shows how to solve a complex fraction equation by multiplying both sides by the common denominator to eliminate fractions.

Example: In the equation $3x-3$/$x-13$ = 6/9, both sides are multiplied by 3 to simplify the right side to 2/3.

The solution continues by multiplying out brackets, combining like terms, and eventually isolating x. Another equation is presented, involving multiple fractions and terms, which is solved by finding a common denominator and multiplying both sides accordingly.

Highlight: A key strategy shown is reorganizing the equation and identifying the least common multiple (LCM) of the denominators to simplify the equation.