SOLUTION: I need to solve the equation of 1 2 -2y -- - --- = ------- y+2 y-3 y^2-y-6 I get an answer of y=7 is this answer correct? also i have ano

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Question 741628: I need to solve the equation of
1 2 -2y
-- - --- = -------
y+2 y-3 y^2-y-6
I get an answer of y=7 is this answer correct?
also i have another answer that am not too sure about
1 a 2
--- - ----- = ----
a+3 a^2-9 3-a
my answer is -3=2 not so sure about this one either..
Could someone please check if my answers are correct, and could guide me on how to do them if they are wrong.
Thank you!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I agree with your first answer of y=7. HOwever, on the second problem, I get a=-3/2.

1%2F%28a%2B3%29+-a%2F%28a%5E2-9%29=2%2F%283-a%29

1%2F%28a%2B3%29+-a%2F%28%28a-3%29%28a%2B3%29%29+=+-2%2F%28a-3%29+

Multiply both sides of the equation by (a-3)(a+3), which leaves:
+a-3+-+a+=+-2%28a%2B3%29+
-3=-2a-6

Add +6 to each side:
3=-2a

a=+-3%2F2

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida