document.write( "Question 36749: $\"%28x-2%29%2F%28x-3%29+=+%28x-1%29%2F%28x%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #22561 by Cintchr(481) $\"\"$ $\"About$

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$\"+%28x-2%29%2F%28x-3%29+=+%28x-1%29%2F%28x%2B1%29+\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( " $\"+%28x-2%29%28x%2B1%29=%28x-3%29%28x-1%29+\"$
\n" ); document.write( "FOIL both sides
\n" ); document.write( " $\"+x%5E2+-1x+-2+=+x%5E2+-4x+%2B3+\"$
\n" ); document.write( "the x^2 cancel each other out since they are of the same coefficient and sign
\n" ); document.write( " $\"+-1x+-2+=+-4x+%2B3+\"$
\n" ); document.write( "Add 4x and 2 to both sides
\n" ); document.write( " $\"+3x+=+5+\"$
\n" ); document.write( "divide by 3
\n" ); document.write( " $\"+x=+5%2F3+\"$
\n" ); document.write( "Plug this into each of the denominators.
\n" ); document.write( " $\"+%285%2F3%29+-+3+\"$ and $\"+%285%2F3%29+%2B+1+\"$
\n" ); document.write( " $\"+%285%2F3%29+-+%289%2F3%29+\"$ and $\"+%285%2F3%29+%2B+%283%2F3%29+\"$
\n" ); document.write( " $\"+%28-4%2F3%29+\"$ and $\"+%288%2F3%29+\"$
\n" ); document.write( "Neither of these comes out to be zero, so both are solutions to the rational equation
\n" ); document.write( " \n" ); document.write( "

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