document.write( "Question 906633: Combine the following rational expressions. \r
\n" ); document.write( "\n" ); document.write( "(3x+1)/(2x-6) - (x+2)/(x-3) \n" ); document.write( "
Algebra.Com's Answer #549976 by JoelSchwartz(130)\"\" \"About 
You can put this solution on YOUR website!
y= the difference between the two numbers
\n" ); document.write( "(3x+1)/(2x-6)-(x+2)/(x-3)=y
\n" ); document.write( "(2x-6)((3x+1)/(2x-6)-(x+2)/(x-3))=y(2x-6)
\n" ); document.write( "3x+1-((x+2)(2x-6))/(x-3)=y(2x+6)
\n" ); document.write( "(x+2)(2x-6)=2x^2+4x-6x-12
\n" ); document.write( "3x+1-(2x^2+4x-6x-12)/(x-3)=y(2x-6)
\n" ); document.write( "(2x^2+4x-6x-12)/(x-3)
\n" ); document.write( "2x(x-3)=2x^2-6x
\n" ); document.write( "2x^2+4x-6x-12-(2x^2-6x)=4x-12
\n" ); document.write( "4(x-3)=4x-12
\n" ); document.write( "4x-12-(4x-12)=0
\n" ); document.write( "(2x+4)(x-3)=2x^2-2x-12
\n" ); document.write( "3x+1-(2x+4)=y(2x-6)
\n" ); document.write( "3x+1-2x-4=y(2x-6)
\n" ); document.write( "x-3=y(2x-6)
\n" ); document.write( "(x-3)/(2x-6)=y
\n" ); document.write( "y=(x-3)/2(x-3)
\n" ); document.write( "y=1/2
\n" ); document.write( "3x+1-(2x+4)=1/2
\n" ); document.write( "x-3=1/2
\n" ); document.write( "x=3.5
\n" ); document.write( "(3*3.5+1)/(2*3.5-6)-(3.5+2)/(3.5-3)=1/2
\n" ); document.write( "(11.5)/(1)-(5.5)/(1/2)=1/2
\n" ); document.write( "11.5-11=1/2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );