Understanding the Subtraction Property of Equality | Solving Equations and Manipulating Expressions

Subtraction Property of Equality

The Subtraction Property of Equality is a fundamental concept in mathematics that states that if you subtract the same quantity from both sides of an equation, the equality will still hold true

The Subtraction Property of Equality is a fundamental concept in mathematics that states that if you subtract the same quantity from both sides of an equation, the equality will still hold true. In simpler terms, if two quantities are equal, and you subtract the same number from both sides of the equation, the resulting equation will also be true.

The basic idea behind this property is that you can perform the same operation on both sides of an equation without changing the balance or equality of the equation. This property is one of the properties of equality that allows us to solve equations and manipulate them to find unknown values.

Mathematically, if we have an equation in the form of a = b, where “a” and “b” represent any algebraic expressions, then we can subtract the same value “c” from both sides of the equation to get a – c = b – c. The resulting equation will still hold true and have the same solution as the original equation.

For example, let’s say we have the equation x + 5 = 12. To solve for the variable x, we can use the Subtraction Property of Equality to subtract 5 from both sides of the equation.

(x + 5) – 5 = 12 – 5

This simplifies to:

x = 7

By subtracting 5 from both sides, we were able to isolate the variable x and find its value. The Subtraction Property of Equality allows us to manipulate equations in this way, helping us solve for unknowns and simplify expressions in various mathematical problems.

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