SOLUTION: (2/3)+(5/(y-4))=(y+6)/(3y-12). Solve the equation and check your solution. If there is no solution, say so. I saw on another post that the answer is(-1/3) and 9. How can this be? I

Algebra ->  Rational-functions -> SOLUTION: (2/3)+(5/(y-4))=(y+6)/(3y-12). Solve the equation and check your solution. If there is no solution, say so. I saw on another post that the answer is(-1/3) and 9. How can this be? I      Log On


   



Question 595136: (2/3)+(5/(y-4))=(y+6)/(3y-12). Solve the equation and check your solution. If there is no solution, say so. I saw on another post that the answer is(-1/3) and 9. How can this be? I tried the quadratic equation, but that just made me even more confused. I tried factoring the denominators, but I don't know what to do next. Please help. If I could figure out what the first step should be, I could do it. Thanks so much!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F3%29%2B%285%2F%28y-4%29%29=%28y%2B6%29%2F3%28y-4%29%29
The LCD of the equation is 3(y-4)
Multiply the equation by 3(y-4)
we get
2%28y-4%29%2B5%283%29=y%2B6
2y-8+%2B15=y%2B6
2y-y=8-15%2B6
y= -1
CHECK
Cheers!