SOLUTION: Solve for y. 2/(y + 3) + 3/(y - 4) = 5/(y + 6) I keep getting -9/6 when the correct answer is -11/6.

Algebra ->  Equations -> SOLUTION: Solve for y. 2/(y + 3) + 3/(y - 4) = 5/(y + 6) I keep getting -9/6 when the correct answer is -11/6.       Log On


   

Question 1208694: Solve for y.
2/(y + 3) + 3/(y - 4) = 5/(y + 6)

I keep getting -9/6 when the correct answer is -11/6.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
, multiplying left and right sides by common denominator

2%28y-4%29%28y%2B6%29%2B3%28y%2B3%29%28y%2B6%29=5%28y%2B3%29%28y-4%29

2%28y%5E2%2B2y-24%29%2B3%28y%5E2%2B9y%2B18%29=5%28y%5E2-y-12%29

2y%5E2%2B4y-48%2B3y%5E2%2B27y%2B54=5y%5E2-5y-60

5y%5E2%2B31y%2B6=5y%5E2-5y-60

31y%2B6=-5y-60

36y=-66

6%2A6y=-1%2A6%2A11

6y=-11

y=-11%2F6

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y.

2/(y + 3) + 3/(y - 4) = 5/(y + 6)

I keep getting -9/6 when the correct answer is -11/6. 

It would've been NICE if you'd shown how you got your answer. Nonetheless, I'm sure you can figure
out where you went wrong.

                    matrix%281%2C3%2C+2%2F%28y+%2B+3%29+%2B+3%2F%28y+-+4%29%2C+%22=%22%2C+5%2F%28y+%2B+6%29%29
2(y - 4)(y + 6) + 3(y + 3)(y + 6) = 5(y + 3)(y - 4) ---- Multiplying by LCD, (y + 3)(y - 4)(y + 6)
  
                              36y = - 66