document.write( "Question 594748: $\"5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28y%5E2-25%29\"$ \n" ); document.write( "

Algebra.Com's Answer #376989 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28y%5E2-25%29\"$
\n" ); document.write( "The third denominator is the \"difference of squares\" factors to:
\n" ); document.write( " $\"5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28%28y%2B5%29%28y-5%29%29\"$
\n" ); document.write( "Multiply by (y+5)(y-5) to clear the denominators, results
\n" ); document.write( "5(y-5) -9(y+5) = 10
\n" ); document.write( ":
\n" ); document.write( "5y - 25 - 9y - 45 = 10
\n" ); document.write( "-4y - 70 = 10
\n" ); document.write( "-4y = 10 + 70
\n" ); document.write( "-4y = 80
\n" ); document.write( "y = 80/-4
\n" ); document.write( "y = -20
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation
\n" ); document.write( " $\"5%2F%28-20%2B5%29-9%2F%28-20-5%29=10%2F%28-20%5E2-25%29\"$
\n" ); document.write( " $\"%28-5%2F15%29+-+%28-9%2F25%29+=+10%2F%28400+-+25%29\"$ \n" ); document.write( "

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