document.write( "Question 100248: The sum of two numbers equal 14 and the difference is 6 \n" ); document.write( "
Algebra.Com's Answer #72996 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=one number \n" ); document.write( "Then 14-x= the other number\r \n" ); document.write( "\n" ); document.write( "Now we are told that \r \n" ); document.write( "\n" ); document.write( "x-(14-x)=6 get rid of parens \n" ); document.write( "x-14+x=6 add 14 to both sides \n" ); document.write( "x-14+14+x=6+14 collect like terms\r \n" ); document.write( "\n" ); document.write( "2x=20 divide both sides by 2 \n" ); document.write( "x=10 -------------------------------one of the numbers\r \n" ); document.write( "\n" ); document.write( "14-x=14-10=4----------------------the other number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "10+4=14 \n" ); document.write( "14=14 \n" ); document.write( "and \n" ); document.write( "10-4=6 \n" ); document.write( "6=6\r \n" ); document.write( "\n" ); document.write( "Another way:\r \n" ); document.write( "\n" ); document.write( "Let x=one number \n" ); document.write( "And y= the other number\r \n" ); document.write( "\n" ); document.write( "Now we are told that:\r \n" ); document.write( "\n" ); document.write( "x+y=14-----------------------eq1 \n" ); document.write( "and \n" ); document.write( "x-y=6----------------------------eq2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add eq1 and eq2\r \n" ); document.write( "\n" ); document.write( "2x=20 \r \n" ); document.write( "\n" ); document.write( "-----and I bet that you can finish it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |