SOLUTION: Could you please help me out with this algebra problem? Solve 7 1 1 --------- - ----- = ------ y^2-13y+36 y-9 3y-12

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Question 206049: Could you please help me out with this algebra problem?
Solve
7 1 1
--------- - ----- = ------
y^2-13y+36 y-9 3y-12

Thank you for your help!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
:
7%2F%28%28y%5E2-13y%2B36%29%29 - 1%2F%28%28y-9%29%29 = 1%2F%28%283y-12%29%29
Factor
7%2F%28%28y-4%29%28y-9%29%29 - 1%2F%28%28y-9%29%29 = 1%2F%283%28y-4%29%29
Multiply by common denominator 3(y-4)(y-9), results:
3(7) - 3(y-4) = (y-9)
:
21 - 3y + 12 = y - 9
:
33 - 3y = y - 9
:
33 + 9 = y + 3y
:
42 = 4y
y = 42%2F4
y = 10.5
:
:
Check solution:
7%2F%28%2810.5%5E2+-+13%2810.5%29+%2B+36%29%29 - 1%2F%28%2810.5-9%29%29 = 1%2F%28%283%2810.5%29-12%29%29
I'll let you check for equality here on a calc
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