SOLUTION: Find the partial fraction decomposition by setting up a system of equations and solving for A and B: (7x-1)/((x+2)(x-3))= A/(x+2) + B/(x-3) Is this as simple as solving for

Algebra ->  Systems-of-equations -> SOLUTION: Find the partial fraction decomposition by setting up a system of equations and solving for A and B: (7x-1)/((x+2)(x-3))= A/(x+2) + B/(x-3) Is this as simple as solving for      Log On


   



Question 978155: Find the partial fraction decomposition by setting up a system of equations and solving for A and B:

(7x-1)/((x+2)(x-3))= A/(x+2) + B/(x-3)
Is this as simple as solving for one variable then substituting for the other? Or is there something more to this that I am not understanding?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides of the equation by (x+2)(x-3), simplify, and compare The expressions in corresponding positions for A and B. You will form two equations to do this.


7x-1=A%28x-3%29%2BB%28x%2B2%29

Ax-3A%2BBx%2B2B

Ax%2BBx%2B2B-3A

%28A%2BB%29x%2B%282B-3A%29
What this means, is that A%2BB=7 and 2B-3A=-1. Solve for A and B.