document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768212>Question 768212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph each system. Tell whether each system has no solution, or infinitely many solutions. \r<BR>\n" );
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document.write( "x+2y=10<BR>\n" );
document.write( "2x+4y=10   \r<BR>\n" );
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document.write( "HELP!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468125 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These are 2 different equations, because<BR>\n" );
document.write( "if you double the 1st one, you get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+4y+=+20+ ALIGN=MIDDLE  ALT=\"+2x+%2B+4y+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is not the 2nd one<BR>\n" );
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document.write( "Now determine if they have the same slope, <BR>\n" );
document.write( "which will mean that they don't intersect, and<BR>\n" );
document.write( "there will be no solution<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+-x+%2B+10+ ALIGN=MIDDLE  ALT=\"+2y+=+-x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-1%2F2%29%2Ax+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+%28-1%2F2%29%2Ax+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+4y+=+10+ ALIGN=MIDDLE  ALT=\"+2x+%2B+4y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+=+-2x+%2B+10+ ALIGN=MIDDLE  ALT=\"+4y+=+-2x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-1%2F2%29%2Ax+%2B+5%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%28-1%2F2%29%2Ax+%2B+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Both equations have a slope = <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;\" >,<BR>\n" );
document.write( "so they do not intersect, and there is no solution<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Here's a plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-4%2C+12%2C+-4%2C+12%2C+%28-1%2F2%29%2Ax+%2B+5%2C+%28-1%2F2%29%2Ax+%2B+5%2F2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
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