used lowest common denominator to find x

## 6/(x+4) - 2/(x-3) = 3

Tutors, please sign in to answer this question.

# 3 Answers

Click this link for a more detailed answer:

https://www.dropbox.com/s/v963d9or2g0i9ci/Wyzant%20answers%20%281%29.pdf

Your common denominator is (x+4)(x-3). If you multiply your rational equation by this denominator you will come up with the following equation:

6(x-3) -2(x+4) = 3(x-3)(x+4) or (after simplifications)

3x^2 -x - 10 = 0

We cabn factor this equation. It gives us (3x +5)(x-2) = 0. Thus, your solutions are

x = -5/3 and x=2

multiple (x+4)(x-3)on both sides. We get 6*(x-3)-2*(x+4)=3*(x+4)*(x-3) The equation is 6x-18-2x-8=3(x2-3x+4x-12) we get: 4x-26=3x2+3x-36 x=2 or x= -5/3