document.write( "Question 978155: Find the partial fraction decomposition by setting up a system of equations and solving for A and B:\r
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\n" ); document.write( "\n" ); document.write( "(7x-1)/((x+2)(x-3))= A/(x+2) + B/(x-3)\r
\n" ); document.write( "\n" ); document.write( "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?
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Algebra.Com's Answer #599633 by josgarithmetic(39617)\"\" \"About 
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.\r
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\n" ); document.write( "\n" ); document.write( "\"7x-1=A%28x-3%29%2BB%28x%2B2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"Ax-3A%2BBx%2B2B\"\r
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\n" ); document.write( "\n" ); document.write( "\"Ax%2BBx%2B2B-3A\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28A%2BB%29x%2B%282B-3A%29\"\r
\n" ); document.write( "\n" ); document.write( "What this means, is that \"A%2BB=7\" and \"2B-3A=-1\". Solve for A and B.
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