document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76058>Question 76058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two number is 13. two times a second number minus three times the second number is 1. if you let x stand for the first number and y for the second number, what are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54637 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem seems to have an error, I assume you meant:<BR>\n" );
document.write( " \"two times a second number minus three times the first number is 1.\" <BR>\n" );
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document.write( "Write an equation for each statement. <BR>\n" );
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document.write( "\"the sum of two numbers is 13.\"<BR>\n" );
document.write( "x + y = 13<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = (13 - y)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = (13 - x)<BR>\n" );
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document.write( "\"two times a second number minus three times the first number is 1\" <BR>\n" );
document.write( "2y - 3x = 1<BR>\n" );
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document.write( "what are the two numbers?<BR>\n" );
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document.write( "Substitute (13-x) for y in the above equation and you have:<BR>\n" );
document.write( "2(13-x) - 3x = 1<BR>\n" );
document.write( "26 - 2x - 3x = 1<BR>\n" );
document.write( "-5x = 1 - 26<BR>\n" );
document.write( "x = -25/-5<BR>\n" );
document.write( "x = + 5<BR>\n" );
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document.write( "y = (13 - 5) = 8<BR>\n" );
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document.write( "Check solution using the statement:<BR>\n" );
document.write( " \"two times a second number minus three times the first number is 1. \"<BR>\n" );
document.write( "2(8) - 3(15) = 1<BR>\n" );
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document.write( "If this is not what you meant, let me know, the problem can be done that way<BR>\n" );
document.write( "You would have: <BR>\n" );
document.write( "2y - 3y = 1<BR>\n" );
document.write( "-y = 1<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( " x + (-1) = 13<BR>\n" );
document.write( "x = 13 + 1<BR>\n" );
document.write( "x = 14<BR>\n" );
document.write( " </SPAN>\n" );
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