Help with addition and multiplication property of Equality
Of course! I can help you understand the addition and multiplication properties of equality.
Addition Property of Equality:
The addition property of equality states that if you have two equal quantities, you can add the same number to both sides of an equation and the equation will still be true.
Here's an example:
Let's say we have the equation: 2x + 5 = 11.
To isolate the variable "x", we can use the addition property of equality to get rid of the "5" on the left side of the equation. We subtract 5 from both sides of the equation, like this:
2x + 5 - 5 = 11 - 5.
Simplifying, we have:
2x = 6.
Multiplication Property of Equality:
The multiplication property of equality states that if you have two equal quantities, you can multiply both sides of an equation by the same number (except zero) and the equation will still be true.
Continuing from the previous example, now let's say we want to solve for "x" in the equation: 2x = 6.
We can use the multiplication property of equality to isolate the variable "x" by dividing both sides by "2":
(2x)/2 = 6/2.
Simplifying, we have:
x = 3.
So, using the addition and multiplication properties of equality, we were able to solve the equation 2x + 5 = 11 and find that x equals 3.
Remember, these properties of equality can be applied to equations to manipulate them and solve for variables. Just make sure to perform the same operation to both sides of the equation in order to maintain equality.