Addition Property of Equality
The Addition Property of Equality is a fundamental concept in mathematics that states that if you add the same number to both sides of an equation, the equation remains true
The Addition Property of Equality is a fundamental concept in mathematics that states that if you add the same number to both sides of an equation, the equation remains true. In other words, if you have two expressions that are equal to each other, and you add the same number to both sides of the equation, the equality is preserved.
Formally, if a = b, then a + c = b + c for any real number c.
This property allows us to perform operations on both sides of an equation in order to simplify or solve for unknown variables. By adding or subtracting the same term on both sides, we can isolate the variable and find its value.
For example, let’s consider the equation 2x + 5 = 11. We can use the Addition Property of Equality to simplify and solve for x. By subtracting 5 from both sides, we get:
2x + 5 – 5 = 11 – 5
2x = 6
Now, we have isolated the variable x on one side of the equation. To further solve for x, we can divide both sides by 2:
2x/2 = 6/2
x = 3
Therefore, the solution to the equation 2x + 5 = 11 is x = 3.
In summary, the Addition Property of Equality is a powerful tool that allows us to maintain the equality of an equation when we add or subtract the same term on both sides. It is widely used in algebraic manipulations and solving equations.
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