document.write( "Question 1029909: Find y if (y^2 - 9y + 8)/(y-1} + (3y^2 +16y-12)/(3y -2) = -3. \n" ); document.write( "

Algebra.Com's Answer #644849 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find y if (y^2 - 9y + 8)/(y-1} + (3y^2 +16y-12)/(3y -2) = -3.
\n" ); document.write( "Assume this is the problem
\n" ); document.write( " $\"%28%28y%5E2+-+9y+%2B+8%29%29%2F%28%28y-1%29%29\"$ + $\"%28%283y%5E2+%2B16y-12%29%29%2F%28%283y+-2%29%29\"$ = -3
\n" ); document.write( "Both numerators can be factored
\n" ); document.write( " $\"%28%28y-1%29%28y-8%29%29%2F%28%28y-1%29%29\"$ + $\"%28%283y-2%29%28y%2B6%29%29%2F%28%283y-2%29%29\"$ = -3
\n" ); document.write( "Notice now we can cancel both denominators (greatly simplifies things!)
\n" ); document.write( "(y-8) + (y+6) = -3
\n" ); document.write( "2y - 2 = -3
\n" ); document.write( "2y = -3 + 2
\n" ); document.write( "2y = -1
\n" ); document.write( "y = $\"-1%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "Check our solution in the original equation, replacing y with -1/2 \n" ); document.write( "

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