Understanding the Multiplication Property of Equality and its application in algebraic equations

Multiplication Property of Equality

The Multiplication Property of Equality is a fundamental concept in algebra that states that if you multiply both sides of an equation by the same non-zero number, the resulting equation will have the same solution as the original equation

The Multiplication Property of Equality is a fundamental concept in algebra that states that if you multiply both sides of an equation by the same non-zero number, the resulting equation will have the same solution as the original equation. In other words, if two quantities are equal and you multiply both sides of the equation by the same number (other than zero), the equality will still hold.

Formally, the Multiplication Property of Equality can be stated as follows:

If a = b, then ac = bc, where a, b, and c are real numbers and c is a non-zero number.

This property allows you to perform the same operation on both sides of an equation without changing its validity. It is often used when solving equations to isolate a variable or simplify an expression.

Here’s an example to illustrate the Multiplication Property of Equality:

Let’s consider the equation 3x = 9. To solve for x, we can use the Multiplication Property of Equality. Since 3 is multiplied by x, we can divide both sides of the equation by 3 to isolate x:

3x/3 = 9/3

x = 3

By applying the Multiplication Property of Equality, we were able to divide both sides of the equation by 3, resulting in a simplified equation with x = 3 as the solution.

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