document.write( "Question 465729: step-by-step help solving 6/y+3 + 2/y = 5y-3/y^2-9
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Algebra.Com's Answer #319156 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "Multiplying thru by term such as ALL denominators = 1
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document.write( "  |multiplying thru by y(y^2-9)
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document.write( "   6y(y-3) + 2(y^2-9)= (5y-3)y
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document.write( "  6y^2 - 18y + 2y^2 - 18 = 5y^2 - 3y
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document.write( "     3y^2 - 15y - 18 = 0
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document.write( "      y^2 - 5y - 6 = 0 
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document.write( " factoring
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document.write( "   (y-6)(y+1) = 0    y = 6 and y = -1 are the solutions\r
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document.write( " 2/(x+5) + 1/(x-5) = 16/(x^2-25)  |multiplying thru by x^2-25 = (x-5)(x+5)
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document.write( "  2(x-5) + (x+5) = 16
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document.write( "      3x = 21
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document.write( "       x = 7 is the solution \n" );
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