document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030396>Question 1030396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 17.  Their difference is 7.  Find 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 #645240 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = first number<BR>\n" );
document.write( "y = second number\r<BR>\n" );
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document.write( "The sum of two numbers is 17, so<BR>\n" );
document.write( "x+y = 17\r<BR>\n" );
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document.write( "Their difference is 7, so<BR>\n" );
document.write( "x-y = 7\r<BR>\n" );
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document.write( "We have this sytem of equations<BR>\n" );
document.write( "x+y = 17<BR>\n" );
document.write( "x-y = 7\r<BR>\n" );
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document.write( "Add up the equations to get<BR>\n" );
document.write( "x+y = 17<BR>\n" );
document.write( "x-y = 7<BR>\n" );
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document.write( "2x+0y = 24\r<BR>\n" );
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document.write( "So 2x = 24 which means x = 12 after you divide both sides by 2 to isolate x.\r<BR>\n" );
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document.write( "Use x = 12 to find the other number.\r<BR>\n" );
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document.write( "x+y = 17<BR>\n" );
document.write( "12+y = 17<BR>\n" );
document.write( "12+y-12 = 17-12<BR>\n" );
document.write( "y = 5\r<BR>\n" );
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document.write( "So the second number is y = 5\r<BR>\n" );
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document.write( "Final Answer: the two numbers are 12 and 5\r<BR>\n" );
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document.write( "Sum: 12+5 = 17<BR>\n" );
document.write( "Difference: 12-5 = 7<BR>\n" );
document.write( "Answer checks out </SPAN>\n" );
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