SOLUTION: (3y-1)(2y+k)=ay^2+by-5 for all values of y,what is the value of a+b?

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Question 1029777: (3y-1)(2y+k)=ay^2+by-5 for all values of y,what is the value of a+b?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%283y-1%29%282y%2Bk%29+=+6y%5E2+-2y+%2B+3ky+-k+=++6y%5E2+%2B+%283k-2%29y+-k
==> a = 6, b = 3k-2, and -5 = -k ==> k = 5.
==> a + b = 6 + 3*5-2 = 6 + 15 - 2 = 19.