document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273568>Question 273568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you write this as an equation?<BR>\n" );
document.write( "seven more than the product of six and a number is eight less than the product of three and a number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199820 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=199820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the first number<BR>\n" );
document.write( "let y be the second number.<BR>\n" );
document.write( "if they're the same number, then you make y = x.\r<BR>\n" );
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document.write( "assuming the numbers are different, then:\r<BR>\n" );
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document.write( "6x + 7 = 3y - 8\r<BR>\n" );
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document.write( "assuming the numbers are the same, then:\r<BR>\n" );
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document.write( "6x + 7 = 3x - 8\r<BR>\n" );
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document.write( "assuming they're the same number, I would solve this to get:\r<BR>\n" );
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document.write( "6x + 7 = 3x - 8<BR>\n" );
document.write( "subtract 7 from both sides of this equation and subtract 3x from both sides of this equation to get:<BR>\n" );
document.write( "6x - 3x = -8 - 7<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "3x = -15<BR>\n" );
document.write( "divide both sides by 3 to get:<BR>\n" );
document.write( "x = -5\r<BR>\n" );
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document.write( "assuming the number is -5, then:\r<BR>\n" );
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document.write( "6*-5 + 7 = 3*-5 - 8<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-30+7 = -15-8<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "-23 = -23\r<BR>\n" );
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document.write( "equation is satisfied.\r<BR>\n" );
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document.write( "number is -5\r<BR>\n" );
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document.write( "the product of 6 and the number is -30<BR>\n" );
document.write( "seven more than that is -23\r<BR>\n" );
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document.write( "the product of 3 and the number is -15<BR>\n" );
document.write( "8 less than that is -23.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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