addition property of equality
The addition property of equality is a fundamental concept in algebra that states that if you add the same number to both sides of an equation, the equality is preserved and the new equation is still true
The addition property of equality is a fundamental concept in algebra that states that if you add the same number to both sides of an equation, the equality is preserved and the new equation is still true. In other words, if two quantities are equal, you can add or subtract the same number from both sides of the equation and the equality will still hold.
Mathematically, the addition property of equality can be expressed as follows:
If a = b, then for any real number c, a + c = b + c.
For example, consider the equation 2x + 3 = 9. To solve for x, we can apply the addition property of equality by subtracting 3 from both sides of the equation:
2x + 3 – 3 = 9 – 3
This simplifies to:
2x = 6
By dividing both sides by 2, we can solve for x:
2x/2 = 6/2
x = 3
The addition property of equality was used to simplify the original equation and isolate the variable x to find its value.
In summary, the addition property of equality is a powerful tool in algebra that allows us to manipulate equations by adding or subtracting the same number to maintain equality and solve for unknown variables.
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