177k views
5 votes
Solve for x.


(6)/(x - 3) - (12)/(x + 1) = 1
Use the digits 0-9 to enter the solution with the greatest value.​

User Askirkela
by
6.7k points

1 Answer

7 votes

Answer:


\boxed{x=5},x=-9

Explanation:

To rid the denominators, multiply both sides by
(x-3)(x+1).

We get:


6(x+1)-12(x-3)=(x-3)(x+1)

Simplifying, we have:


6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0

Solving, we get:


x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9

Therefore, the solution with the greatest value is
x=\boxed{5}

User Techuser Soma
by
7.0k points