Decompose into partial fractions

Book answer is:

My answer is:

I seem to get the same answer for C, but my system of equations is off:

3=A+C

-11=A+B

-26=B-4C

Reverse engineering the solutions shows my system to be incorrect, which seems wierd because I followed a text example step by step.

Why am I wrong?

Re: Decompose into partial fractions

Quote:

Originally Posted by

**Greymalkin**

You work with .

Re: Decompose into partial fractions

Wasn't really getting the gist of decomposition until I watched a khan academy video on it, which sort of explained the relatedness of the method. But it was your post that made the lightbulb go on, thank you very much!