Equivalent Equations

Topic

Equations

Definition

Equivalent equations are equations that have the same solutions.

Description

Equivalent equations are a key concept in algebra. They may look different but yield the same solutions. For instance, 

2x + 3 = 7

and 

4x + 6 = 14

are equivalent because both have the solution x = 2. Transformations such as addition, subtraction, multiplication, or division can produce equivalent equations.

In real-world applications, equivalent equations are used to simplify complex problems and verify solutions. Understanding equivalent equations helps students recognize different forms of the same problem and enhances their problem-solving abilities.

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