document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114504>Question 114504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 39 and their difference is 7. What are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83334 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "THERE ARE TWO WAYS (MAYBE MORE) TO WORK THIS:\r<BR>\n" );
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document.write( "LETS DO THE EASY WAY FIRST, THEN I WILL SET UP THE HARD WAY AND YOU CAN FINISH IT.\r<BR>\n" );
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document.write( "Let x=one number<BR>\n" );
document.write( "Then 39-x=the other number\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "(39-x)-x=7  get rid of parens (distributive law)\r<BR>\n" );
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document.write( "39-x-x=7 subtract 39 from both sides\r<BR>\n" );
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document.write( "39-39-x-x=7-39  collect like terms\r<BR>\n" );
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document.write( "-2x=-32  divide both sides by -2<BR>\n" );
document.write( "x=16-------------------one number\r<BR>\n" );
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document.write( "39-x=39-16=23------------the other number\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "their difference IS 7 and their sum IS 39\r<BR>\n" );
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document.write( "THE HARD WAY:<BR>\n" );
document.write( "Let x=one number <BR>\n" );
document.write( "And y=the other number\r<BR>\n" );
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document.write( "x+y=39----------------------------eq1<BR>\n" );
document.write( "x-y=7--------------------------eq2\r<BR>\n" );
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document.write( "substitute x=39-y from eq1 into eq2 and we get\r<BR>\n" );
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document.write( "x-(39-x)=7 get rid of parens\r<BR>\n" );
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document.write( "x-39+x=7  add 39 to both sides<BR>\n" );
document.write( "x-39+39+x=7+39 collect like terms\r<BR>\n" );
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document.write( "2x=46\r<BR>\n" );
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document.write( "Now you finish this one\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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