Question

which property of equality justifies adding the same number to both sides of an equation

Answer 1

The property of equality that justifies adding the same number to both sides of an equation is called the **Addition Property of Equality**. This property states that if you have an equation \( a = b \), then you can add the same number \( c \) to both sides to obtain \( a + c = b + c \), and the equation will still hold true.