document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045726>Question 1045726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a number that is 68 greater than three times its opposite \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661281 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=661281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an opposite number has the same magnitude, but the opposite sign.\r<BR>\n" );
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document.write( "68 is opposite -68\r<BR>\n" );
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document.write( "68 is the same distance from 0 that -68 is.\r<BR>\n" );
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document.write( "that makes them opposite numbers by definition.\r<BR>\n" );
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document.write( "let x be the number.\r<BR>\n" );
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document.write( "your equation would be:\r<BR>\n" );
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document.write( "x = 3 * -x + 68\r<BR>\n" );
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document.write( "this can be re-written as:\r<BR>\n" );
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document.write( "x = -3x + 68\r<BR>\n" );
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document.write( "this is based on the commutative law of multiplication and the associative law of multiplication.\r<BR>\n" );
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document.write( "the commutative law says that a * b = b * a\r<BR>\n" );
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document.write( "the associative law says that a * (b * c) = (a * b) * c\r<BR>\n" );
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document.write( "x = 3 * -x + 68 becomes x = 3 * -1 * x + 68 which becomes x = -1 * 3 * x + 68 which becomes x = (-1 * 3) * x + 68 which becomes x = -3 * x + 68 which becomes x = -3x + 68.\r<BR>\n" );
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document.write( "here's a reference to the different laws / properties of arithmetic operations.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.coolmath.com/prealgebra/06-properties\" target=\"_blank\">http://www.coolmath.com/prealgebra/06-properties</a> </SPAN>\n" );
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