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

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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)   (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.









What this means, is that and . Solve for A and B.

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