Name the property of equality that justifies the statement. If m + n = 18 and n = 4, then m+4 = 18
The property of equality that justifies the statement is the Substitution Property.
The property of equality that justifies the statement is the substitution property.
The substitution property states that if two quantities are equal, then one can be substituted for the other in any expression. In this case, we are given the equation "m + n = 18" and the information that "n = 4".
By the substitution property, we can substitute the value of "n" (which is 4) into the equation "m + n = 18" to get "m + 4 = 18".
The property of equality that justifies the statement is the substitution property.
To understand why, let's break down the steps:
1. Given the equation m + n = 18, we are told that the sum of m and n is equal to 18.
2. We are also given the additional information that n = 4. This means that we can substitute the value of n with 4 in the original equation.
3. By substituting n with 4, the equation becomes m + 4 = 18. This is known as the substituted equation.
4. The substitution property of equality allows us to replace a term with an equal value into an equation. In this case, we replaced n with 4 because it was given that n = 4.
5. Therefore, based on the substitution property, we can conclude that if m + n = 18 and n = 4, then m + 4 = 18.