document.write( "Question 124679: the difference of two numbers is 7. The second is 4 less than 2 times the first.What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #91385 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
Two numbers, so one of them is x and the other is y.\r
\n" ); document.write( "\n" ); document.write( "Their difference is 7, so \"x-y=7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The second, y, is, meaning equals, 4 less than two times the first. 2 times the first is \"2x\", 4 less than that is \"2x+-4\", so \"y+=+2x-4\", or in standard form, \"2x-y=4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-y=7\"
\n" ); document.write( "\"2x-y=4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the first equation by -1:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-x%2By=-7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then add the second equation to it\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B0y=-3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute into the first equation:\r
\n" ); document.write( "\n" ); document.write( "\"-3-y=7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-y=10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=-10\"
\n" ); document.write( "
\n" );