The Division Property of Equality | Solving Equations through Dividing

division property of equality

The division property of equality is a fundamental principle in algebra that allows us to solve equations by dividing both sides of the equation by the same nonzero number

The division property of equality is a fundamental principle in algebra that allows us to solve equations by dividing both sides of the equation by the same nonzero number. It states that if you have an equation in the form of “a = b”, where “a” and “b” are expressions or numbers, and “c” is a nonzero number, then dividing both sides of the equation by “c” will still maintain the equality. In other words, if “a = b”, then “a / c = b / c”.

For example, let’s say we have the equation 2x = 10 that we want to solve for x. To isolate x, we can divide both sides of the equation by 2 (since 2 is the coefficient of x) to get:

(2x) / 2 = 10 / 2

Simplifying further, we have:

x = 5

So the division property of equality allows us to divide both sides of an equation by the same nonzero number to solve for the unknown variable and maintain the equality. It is a powerful tool in algebraic problem-solving.

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