document.write( "Question 469796: I just got my SAT test book back and there is one problem that I do not know how to do:\r
\n" ); document.write( "\n" ); document.write( "The product of a and b is equal to x and the sum of a and b is equal to y. If x and y are positive numbers, what is 1/a + 1/b in terms of x and y. The answer is y/x but I don't understand how to get that answer. Help!\r
\n" ); document.write( "\n" ); document.write( "Thanks.
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Algebra.Com's Answer #322274 by ccs2011(207)\"\" \"About 
You can put this solution on YOUR website!
Start with the given \"1%2Fa+%2B+1%2Fb\"
\n" ); document.write( "Combine this into 1 fraction, find common denominator
\n" ); document.write( "common denominator is ab
\n" ); document.write( "--> \"1%2Fa+%2B+1%2Fb+=+%28b%2Fab%29%2B%28a%2Fab%29+=+%28a%2Bb%29%2Fab\"
\n" ); document.write( "Then use substitution:
\n" ); document.write( "we know a+b = y and ab = x
\n" ); document.write( "--> \"%28a%2Bb%29%2Fab+=+y%2Fx\"
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