We have two equations.
x-8&=6
x-6&=8
We will determine if these two equations have the same solution. Before we do this, let's review the Addition and Subtraction Properties of Equality.
We can see that adding the same number to both sides of an equation or subtracting the same number from both sides results in an equivalent equation. Now let's look at some examples.
Here, we can add 2 to both sides of the first equation to obtain an equivalent equation using the Addition Property of Equality.
x-8= 6
+2 +2
x-6= 8
When we added 2 to both sides of the first equation, we got the second equation. This means that these equations are equivalent. Additionally, equivalent equations have the same solutions, so the answer to the asked question is yes.
Checking Our Answer
Finding the Solutions of the Equations
We will find the value of x for each equation to check whether these equations have the same solution. We will use the Addition Property of Equality. Let's first find the solution of the first equation.
