Addition Property of Equality
The same thing can be added to both sides of an equation
The addition property of equality is one of the fundamental properties of arithmetic, which states that if you add the same number to both sides of an equation, then the equation remains true. In other words, if a = b, then a + c = b + c, for any number c.
For example, if we have the equation 2x + 5 = 11, we can use the addition property of equality to isolate the variable x by subtracting 5 from both sides:
2x + 5 – 5 = 11 – 5
2x = 6
Then, we can solve for x by dividing both sides of the equation by 2:
2x/2 = 6/2
x = 3
The addition property of equality is a very useful tool that can be used to simplify equations and solve problems in various areas of math, such as algebra, geometry, and calculus. It is important to remember that when we apply this property, we must always make sure to add the same quantity to both sides of the equation in order to maintain its equality.
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