SOLUTION: 2/(Y+3)+3/(Y-4)=5/(Y+6)

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Question 212166: 2/(Y+3)+3/(Y-4)=5/(Y+6)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28Y%2B3%29%2B3%2F%28Y-4%29=5%2F%28Y%2B6%29

Step 1. Get Rid of Denominators. We'll start with the left side. Multiply

%28Y%2B3%29%28Y-4%29 to both sides of equation.



2%28Y-4%29%2B3%28Y%2B3%29=%285%28Y%2B3%29%28Y-4%29%29%2F%28Y%2B6%29

Step 2. To get rid of denominator on right side. Multiply
%28Y%2B6%29 to both sides of equation.



%28Y%2B6%292%28Y-4%29%2B%28Y%2B6%293%28Y%2B3%29=5%28Y%2B3%29%28Y-4%29

Step 3. Now multiply everything and collect like terms.

2%28Y%5E2%2B2Y-24%29%2B3%28Y%5E2%2B9Y%2B18%29=5%28Y%5E2-Y-12%29

%282Y%5E2%2B4Y-48%29%2B%283Y%5E2%2B27Y%2B54%29=5Y%5E2-5Y-60

5Y%5E2%2B31Y%2B6=5Y%5E2-5Y-60

31Y%2B6=5Y-60

25Y=-66

Y=-66%2F5