document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074770>Question 1074770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eight times a number plus five times another number is -13. The sum of the two numbers is 1. 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 #689432 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = one of the numbers<BR>\n" );
document.write( "let y = the other number.\r<BR>\n" );
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document.write( "8x + 5y = -13\r<BR>\n" );
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document.write( "x + y = 1\r<BR>\n" );
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document.write( "solve for y in the second equation to get y = 1 - x\r<BR>\n" );
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document.write( "replace y with 1 - x in the first equation to getr 8x + 5 * (1 - x) = -13\r<BR>\n" );
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document.write( "simplify to get 8x + 5 - 5x = -13\r<BR>\n" );
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document.write( "combine like terms to get 3x + 5 = - 13\r<BR>\n" );
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document.write( "subtract 5 from both sides of the equation to get 3x = -18\r<BR>\n" );
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document.write( "solve for x to get x = -6\r<BR>\n" );
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document.write( "x + y = 1 becomes -6 + y = 1\r<BR>\n" );
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document.write( "solve for y to get y = 7\r<BR>\n" );
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document.write( "your solution should be x = -6 and y = 7\r<BR>\n" );
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document.write( "in the first equation, replace x with -6 and y with 7 to get 8x + 5y = -13 becomes 8 * -6 + 5 * 7 = -13\r<BR>\n" );
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document.write( "simplify this to get -48 + 35 = -13\r<BR>\n" );
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document.write( "combine like terms to get -13 = -13.\r<BR>\n" );
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document.write( "this confirms the solution is correct because both equations are true when x = -6 and y = 7.\r<BR>\n" );
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