Mastering the Addition Property of Equality | A Key Concept in Solving Equations and Manipulating Mathematical Statements

Addition Property of Equality

The Addition Property of Equality is a fundamental principle in mathematics that states that if you add the same number to both sides of an equation, the equality will remain unchanged

The Addition Property of Equality is a fundamental principle in mathematics that states that if you add the same number to both sides of an equation, the equality will remain unchanged. In other words, if two quantities are equal and you add the same value to both sides of the equation, the resulting equation will still be true.

Formally, if a = b, then a + c = b + c, where “a,” “b,” and “c” represent any real numbers or variables. This property allows us to perform the same operation on both sides of an equation to solve for a variable.

For example, let’s say we have the equation 3x + 5 = 11. To solve for x, we can use the Addition Property of Equality to isolate the variable. By subtracting 5 from both sides of the equation, we get:

3x + 5 – 5 = 11 – 5
3x = 6

Now, by dividing both sides of the equation by 3, we find:

(3x)/3 = 6/3
x = 2

By applying the Addition Property of Equality, we were able to simplify the equation and find the value of x that makes the equation true.

This property is a fundamental concept in algebra and is used extensively in solving equations, simplifying expressions, and manipulating mathematical statements.

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