# Name the property of equality that justifies the following statement: If p = q, then p-r = q-r 1.Multiplication Property 2.Reflexive Property 3.Symmetric Property 4.Subtraction Property

Hey there! Hello! Okay okay okay... So, my favorite thing to do with these kinds of problems is replace them with real numbers, since working with letters will never be as good as working with numbers (for me, anyway). Let's say, if P=2, then Q must also =2. 2=2. Rad. Now, lets make up some value for r. Let's say 1, so we don't confuse ourselves with our other values. If we plug these values into our given equation, it's proven true, since 2–1 does in fact =2–1, or 1=1. Multiplication Property is automatically out because it's not really it's own property, and we're not even dealing with multiplication. Next, we have Reflexive, which basically states that for every real number, let's say x, x will always be equal to x. In terms of numbers, 1 will always be equal to 1. I wouldn't say that one applies to this exactly. Then, there's Symmetry, which basically states that if x is equal to y, y will always be equal to x. If x is 1, y will also be 1, and vise versa. We're getting warmer, but I still don't think it lines up. Finally, there's Subtraction Property. It basically states that when you have x=x and y=y, x–y=x–y. I think this is your answer, since this description also fits along with our example above, 2–1=2–1. I hope this helped you out! Feel free to ask any additional questions if you need further clarification. :-)