document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071810>Question 1071810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can we get that this equation has infinitely many solutions?<BR>\n" );
document.write( "A:- 2x+4y=8 & x+2y=-4<BR>\n" );
document.write( "B:- 2x+4y=8 & x+2y=4<BR>\n" );
document.write( "C:- 2x+4y=8 & 2x+4y=6<BR>\n" );
document.write( "D:- 2x+4y=8 & x+2y=8<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 #686719 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=686719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four different questions?<BR>\n" );
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document.write( "A:- 2x+4y=8 & x+2y=-4\r\n" );
document.write( "B:- 2x+4y=8 & x+2y=4\r\n" );
document.write( "C:- 2x+4y=8 & 2x+4y=6\r\n" );
document.write( "D:- 2x+4y=8 & x+2y=8\r\n" );
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document.write( "Assuming the first dash in each is not used as a negative sign,\r<BR>\n" );
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document.write( "Item D:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B4y=8%2Cx%2B2y=8%29 ALIGN=MIDDLE  ALT=\"system%282x%2B4y=8%2Cx%2B2y=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%281%2F2%29%282x%2B4y%29=%281%2F2%298%2Cx%2B2y=8%29 ALIGN=MIDDLE  ALT=\"system%28%281%2F2%29%282x%2B4y%29=%281%2F2%298%2Cx%2B2y=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2B2y=4%2Cx%2B2y=8%29 ALIGN=MIDDLE  ALT=\"system%28x%2B2y=4%2Cx%2B2y=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=-x%2F2%2B2%2Cy=-x%2F2%2B4%29 ALIGN=MIDDLE  ALT=\"system%28y=-x%2F2%2B2%2Cy=-x%2F2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------both slopes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > but different set of points, so parallel lines.  NO SOLUTION.\r<BR>\n" );
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document.write( "Item B:<BR>\n" );
document.write( "System equivalent to the single equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=4 ALIGN=MIDDLE  ALT=\"x%2B2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Just the equation of a line.<BR>\n" );
document.write( "Infinitely many solutions, all fit on the line. </SPAN>\n" );
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