Mastering The Addition Property Of Equality In Mathematics For Solving Equations

Addition Property of Equality

If a = b, then a + c = b + c

The addition property of equality is a fundamental concept in mathematics that 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, where c is any real number. This property allows us to perform addition operations on both sides of an equation and maintain its truth value.

For example, if we have the equation 3x – 4 = 5, we can use the addition property of equality to add 4 to both sides of the equation, giving us:

3x – 4 + 4 = 5 + 4

Simplifying the left side, we get:

3x = 9

Finally, we can use the division property of equality to divide both sides of the equation by 3 and solve for x:

3x/3 = 9/3

x = 3

Therefore, the solution to the equation 3x – 4 = 5 is x = 3, which we obtained by using the addition property of equality.

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