document.write( "Question 1059723: The difference of two positive numbers is 3 and their difference of their squares is 69. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #674761 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
The difference of two positive numbers is 3 and their
\n" ); document.write( "difference of their squares is 69. Find the numbers.
\n" ); document.write( "
\r\n" );
document.write( "\"system%28x-y=3%2Cx%5E2-y%5E2=69%29\"\r\n" );
document.write( "\r\n" );
document.write( "Factor the left side of the second equation:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x-y%29%28x%2By%29=69%29\"\r\n" );
document.write( "\r\n" );
document.write( "Use the first equation to substitute 3 for (x-y)\r\n" );
document.write( "\r\n" );
document.write( "\"3%28x%2By%29=69%29\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 3\r\n" );
document.write( "\r\n" );
document.write( "\"x%2By=23%29\"\r\n" );
document.write( "\r\n" );
document.write( "Our system of equations is now:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28x-y=3%2Cx%2By=23%29\"\r\n" );
document.write( "\r\n" );
document.write( "Add the equations term by term:\r\n" );
document.write( "\r\n" );
document.write( "\"2x=26%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x=13%29\"\r\n" );
document.write( "\r\n" );
document.write( "Substitute in \r\n" );
document.write( "\r\n" );
document.write( "\"x-y=3\"\r\n" );
document.write( "\r\n" );
document.write( "\"13-y=3\"\r\n" );
document.write( "\r\n" );
document.write( "\"-y=-10\"\r\n" );
document.write( "\r\n" );
document.write( "\"y=10\"\r\n" );
document.write( "\r\n" );
document.write( "Answer: 13 and 10\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );