Week-13

What I thought:

At first I thought that x-7 and 7-x were different, because they are subtractions and in different order. So then I tried to get the same denominator by multiplying the top and bottom to it’s opposite. So for the first fraction, I multiplied the top and bottom by (7-x) and got . Then for the second one I times the top and bottom by (x-7), so after that we have and we can just put both fractions together now since they both share the same denominator. Then lastly we add the like terms together and our answer is , but clearly that is not one of the options in the question.

After correcting:

After checking my work I realized that it was much simpler than that, I just needed to factor out the negative for the second fractions denominator, to make them the same then that negative is moved to the top. When it moves it gets canceled out by the minus sign, making it . So our final answer would be .