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Learn how to use the addition property of equality to solve algebraic equations and balance scales. See the formula, examples, and practice problems with solutions.
The addition property of equality states that if the same amount is added to both sides of an equation, the equation still holds true. It is mathematically expressed as, X + n = Y + n, where n is any real number and X = Y is the given equation.
The addition property of equality states that if equal quantities each have an equal amount added on to them, then the sums are still equal. It essentially says that if there are two containers with equal amounts of water, then the containers will still have equal amounts of water when one gallon of water is added to each.
The addition property of equality is defined as "When the same amount is added to both sides of an equation, the equation still holds true". We can express this property mathematically as, for real numbers a, b, and c, if a = b, then a + c = b + c.
The addition property of equality states that if two expressions are equal, adding the same number to both sides of the equation will result in two new equal expressions. This fundamental principle allows for the manipulation of equations to isolate variables and solve for unknown values.
Learn the addition property of equality and other properties of equality for real numbers. See how to use them to solve equations, simplify expressions, and prove theorems.
Definition. The addition property of equality states that if two expressions are equal, then adding the same number to both expressions will result in two new expressions that are also equal.
