. Identify the property and equation that satisfies the following statement: The solution of an equation is x = –2. Division Property of Equality; x + 8 = 6 Addition Property of Equality; x + 6 = 8 Substitution Property of Equality; x + 8 = 6 Subtraction Property of Equality; x + 6 = 8
The property that satisfies the statement "The solution of an equation is x = -2" is the Subtraction Property of Equality.
The equation that satisfies the statement is x + 6 = 8.
The equation that satisfies the statement "The solution of an equation is x = –2" is:
Subtraction Property of Equality; x + 6 = 8
The property that satisfies the statement "The solution of an equation is x = -2" is the Substitution Property of Equality. This property allows us to substitute a value or expression for a variable in an equation, as long as it does not change the equality.
In this case, substituting x with -2 in the equation x + 8 = 6 gives us (-2) + 8 = 6. From here, we can simplify the equation to get 6 = 6, which is a true statement. Therefore, x = -2 is a solution to the equation.
Therefore, the correct equation that satisfies the given statement is x + 8 = 6, and the corresponding property is the Substitution Property of Equality.