document.write( "Question 24372: just want the steps of these problem (x+3)/(x-2)=(x+4)/(x-3),thanks \n" ); document.write( "
Algebra.Com's Answer #12975 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
 (x+3)/(x-2)=(x+4)/(x-3),\r\n" );
document.write( " \r\n" );
document.write( " x+3     x+4 \r\n" );
document.write( "————— = —————\r\n" );
document.write( " x-2     x-3\r\n" );
document.write( "\r\n" );
document.write( "This is a proportion, that is, of the form\r\n" );
document.write( "\r\n" );
document.write( "FRACTION = FRACTION\r\n" );
document.write( "\r\n" );
document.write( "When there are no common factor of the denominator, \r\n" );
document.write( "cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "RULE for CROSS-MULTIPLYING:\r\n" );
document.write( "\r\n" );
document.write( "(UPPER LEFT)·(LOWER RIGHT) = (LOWER LEFT)·(UPPER RIGHT)\r\n" );
document.write( "\r\n" );
document.write( "Using the CROSS-MULTIPLICATION rule:\r\n" );
document.write( "\r\n" );
document.write( " x+3     x+4 \r\n" );
document.write( "————— = —————\r\n" );
document.write( " x-2     x-3\r\n" );
document.write( "\r\n" );
document.write( "(x+3)·(x-3) = (x-2)(x+4)\r\n" );
document.write( "\r\n" );
document.write( "FOIL out both sides:\r\n" );
document.write( "\r\n" );
document.write( "x2 - 3x + 3x - 9 = x2 + 4x - 2x - 8\r\n" );
document.write( "\r\n" );
document.write( "          x2 - 9 = x2 + 2x - 8\r\n" );
document.write( "\r\n" );
document.write( "Subtract x2 from both sides\r\n" );
document.write( "\r\n" );
document.write( "             -9 = 2x - 8\r\n" );
document.write( "\r\n" );
document.write( "Add 8 to both sides\r\n" );
document.write( "\r\n" );
document.write( "             -1 = 2x\r\n" );
document.write( "\r\n" );
document.write( "Divide both side by 2\r\n" );
document.write( "\r\n" );
document.write( "             -1     2x\r\n" );
document.write( "            ———— = ————\r\n" );
document.write( "              2      2\r\n" );
document.write( "\r\n" );
document.write( "Cancel the 2's on the right:\r\n" );
document.write( "                    1 \r\n" );
document.write( "             -1     2x\r\n" );
document.write( "            ———— = ————\r\n" );
document.write( "              2      2\r\n" );
document.write( "                     1\r\n" );
document.write( "\r\n" );
document.write( "            -1/2 = x\r\n" );
document.write( "\r\n" );
document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
\n" ); document.write( "
\n" );