document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70643>Question 70643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9(2X-1)      4(X-5)<BR>\n" );
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document.write( "  7           3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50434 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=50434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A%282x-1%29%2F7+=+4%2A%28x-5%29%2F3 ALIGN=MIDDLE  ALT=\"9%2A%282x-1%29%2F7+=+4%2A%28x-5%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is in the form of a proportion ... two fractions set equal to each other.  There are<BR>\n" );
document.write( "ways that you can work through common denominators and do simplifications, but a common <BR>\n" );
document.write( "method is that a lot of students use for solving proportions that aren't way complex is <BR>\n" );
document.write( "to begin by cross-multiplying them ... multiplying the denominator on one side by the numerator <BR>\n" );
document.write( "on the other side and setting the two products equal.  For this problem the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > would<BR>\n" );
document.write( "multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28x-5%29 ALIGN=MIDDLE  ALT=\"4%2A%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > would multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A%282x-1%29 ALIGN=MIDDLE  ALT=\"9%2A%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can do<BR>\n" );
document.write( "that multiplication in your head and get the resulting equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2A%28x-5%29+=+27%2A%282x-1%29 ALIGN=MIDDLE  ALT=\"28%2A%28x-5%29+=+27%2A%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next do the multiplications on both sides to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x+-+140+=+54x+-+27 ALIGN=MIDDLE  ALT=\"28x+-+140+=+54x+-+27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rest is straightforward.  Add +140 to both sides to eliminate the 140 on the left side:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x+=+54x+%2B+113 ALIGN=MIDDLE  ALT=\"28x+=+54x+%2B+113\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then add -54x to both sides to eliminate the 54x on the right side:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26x+=+113 ALIGN=MIDDLE  ALT=\"-26x+=+113\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, to solve for x, just divide both sides by -26 and the answer becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-113%2F26%29 ALIGN=MIDDLE  ALT=\"x+=+%28-113%2F26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That's the answer.  If you do the division you get a decimal answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.346153846 ALIGN=MIDDLE  ALT=\"4.346153846\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Hope this helps you a little to see a way of working problems such as these that are in<BR>\n" );
document.write( "proportional form. This method is not the only way the problem could be done, but it's <BR>\n" );
document.write( "a convenient way at times. </SPAN>\n" );
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