How do you solve 7x+1+xx21=1x1?

1 Answer
Aug 28, 2017

x=87

Explanation:

First, we can eliminate the denominators. If you notice the denominators, the one denominator (the middle) is the product of the other two.

(x+1)(x1)=x21

So, we can multiply through by (x+1)(x1).

7x+1+xx21=1x1

(x+1)(x1)(7x+1+xx21=1x1)

7(x1)+x=x+1

Then, we can solve for x.

7(x1)+x=x+1

8x7=x+1

7x=8

x=87

If you want, you can plug this answer in to check if it is correct.