document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473486>Question 473486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone help me plss before monday?\r<BR>\n" );
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document.write( "solve the equation.\r<BR>\n" );
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document.write( "17. 2x+1/3x-3 = 5x+1/6x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324699 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=324699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F%283x-3%29+=+%285x%2B1%29%2F%286x-2%29 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F%283x-3%29+=+%285x%2B1%29%2F%286x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i don't see any common factors, so i think we'll have to do this the hard way.<BR>\n" );
document.write( "cross multiply to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2A%286x-2%29+=+%283x-3%29%2A%285x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2A%286x-2%29+=+%283x-3%29%2A%285x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply those factors out to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2+%2B+2x+-+2+=+15x%5E2+-+12x+-+3 ALIGN=MIDDLE  ALT=\"12x%5E2+%2B+2x+-+2+=+15x%5E2+-+12x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 12x^2 and 2x from both sides of the equation, and add 2 to both sides of the equation to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+15x%5E2+-+12x+-+3+-+12x%5E2+-+2x+%2B+2 ALIGN=MIDDLE  ALT=\"0+=+15x%5E2+-+12x+-+3+-+12x%5E2+-+2x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+3x%5E2+-+14x+-+1 ALIGN=MIDDLE  ALT=\"0+=+3x%5E2+-+14x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is the same as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+14x+-+1+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+14x+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is a quadratic equation.<BR>\n" );
document.write( "you need the quadratic formula to solve this.<BR>\n" );
document.write( "the quadratic formula is:<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b+%2B-+sqrt%28b%5E2-4ac%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"-b+%2B-+sqrt%28b%5E2-4ac%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "in your equation:<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = -14<BR>\n" );
document.write( "c = -1<BR>\n" );
document.write( "solving by using the quadratic formula gets you:<BR>\n" );
document.write( "x = 4.737034184<BR>\n" );
document.write( "x = -.070367517<BR>\n" );
document.write( "substitute these values of x into the original equations and you will see that the equations are true.<BR>\n" );
document.write( "those are your answer.<BR>\n" );
document.write( "this was very messy.<BR>\n" );
document.write( "i didn't see an easier way to get the answer.<BR>\n" );
document.write( " </SPAN>\n" );
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