document.write( "Question 24549: I have not had algebra in a couple years and I can't remember the how to solve this problem. I know the answer is supposed to be (-11/6), but I don't know how they got that answer!
\n" ); document.write( "2/(y+3)+ 3/(y-4)= 5/(y+6) \n" ); document.write( "
Algebra.Com's Answer #13068 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
I have not had algebra in a couple years and I can't remember the how to solve\r\n" );
document.write( "this problem. I know the answer is supposed to be (-11/6), but I don't know how\r\n" );
document.write( "they got that answer! \r\n" );
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document.write( "2/(y+3)+ 3/(y-4)= 5/(y+6)\r\n" );
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document.write( " 2     3     5   \r\n" );
document.write( "——— + ——— = ———\r\n" );
document.write( "y+3   y-4   y+6\r\n" );
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document.write( "The LCD is (y+3)(y-4)(y+6)\r\n" );
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document.write( "Multiply every term by that over 1\r\n" );
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document.write( " 2  (y+3)(y-4)(y+6)    3  (y+3)(y-4)(y+6)    5  (y+3)(y-4)(y+6) \r\n" );
document.write( "———·——————————————— + ———·——————————————— = ———·———————————————\r\n" );
document.write( "y+3        1          y-4        1          y+6       1\r\n" );
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document.write( "Now we cancel everything that will cancel:\r\n" );
document.write( "      1                          1                          1 \r\n" );
document.write( " 2  (y+3)(y-4)(y+6)    3  (y+3)(y-4)(y+6)    5  (y+3)(y-4)(y+6) \r\n" );
document.write( "———·——————————————— + ———·——————————————— = ———·———————————————\r\n" );
document.write( "y+3        1          y-4        1          y+6       1\r\n" );
document.write( " 1                     1                     1\r\n" );
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document.write( "      2(y-4)(y+6) + 3(y+3)(y+6) = 5(y+3)(y-4)\r\n" );
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document.write( "2(y2+6y-4y-24) + 3(y2+6y+3y+18) = 5(y2-4y+3y-12)\r\n" );
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document.write( "      2(y2+2y-24) + 3(y2+9y+18) = 5(y2-y-12)\r\n" );
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document.write( "2y2 + 4y - 48 + 3y2 + 27y + 54 = 5y2 - 5y - 60\r\n" );
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document.write( "                 5y2 + 31y + 6 = 5y2 - 5y - 60\r\n" );
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document.write( "Subtract 5y2 from both sides\r\n" );
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document.write( "                       31y + 6 = - 5y - 60\r\n" );
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document.write( "Subtract 6 from both sides\r\n" );
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document.write( "                           36y = -66\r\n" );
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document.write( "Divide both sides by 36\r\n" );
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document.write( "                             y = -66/36\r\n" );
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document.write( "Reduce fraction\r\n" );
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document.write( "                             y = -11/6\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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