document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27626>Question 27626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> /2x-3/=7 find the solution set for the equation\r<BR>\n" );
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document.write( "/x-4/=4 find the solution set for the equation<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 #15069 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok, first for the easier part:<BR>\n" );
document.write( "2x-3=7<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5\r<BR>\n" );
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document.write( "this solution is seen on the graph of y=2x-3 and y=7... they intersect at x=5, as shown: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C2x-3%2C+7%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C2x-3%2C+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now the action of the modulus around the 2x-3 means that it will not allow negative values of y, so to the left of x=1.5, the straight line will \"break\" into a V shape and head back up to the top left\r<BR>\n" );
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document.write( "Now, mathematically, to see this \"rebounded\" portion of the line, we put a negative sign in front of the equation, like -(2x-3) = 7.\r<BR>\n" );
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document.write( "-2x+3 = 7<BR>\n" );
document.write( "-2x = 4<BR>\n" );
document.write( "x = -2\r<BR>\n" );
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document.write( "This can be seen if we ploy y = -(2x-3) against y=7, as shown: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C-2x%2B3%2C+7%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-10%2C10%2C-25%2C25%2C-2x%2B3%2C+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon.\r<BR>\n" );
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