document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000185>Question 1000185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is based on solving systems of equations by way of substitution \r<BR>\n" );
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document.write( "x+2y=4<BR>\n" );
document.write( "4y=-2x-8\r<BR>\n" );
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document.write( "I know how to do this, but I keep on coming up with the wrong answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617686 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=617686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Knowing how to do it, you will solve the problem as you want and without the mistake you are making.  \r<BR>\n" );
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document.write( "The equivalent system is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=4-2y%2C2y=-x-4%29 ALIGN=MIDDLE  ALT=\"system%28x=4-2y%2C2y=-x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the substitution was not yet done.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-%284-2y%29-4 ALIGN=MIDDLE  ALT=\"2y=-%284-2y%29-4\"   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=2y=-4%2B2y-4 ALIGN=MIDDLE  ALT=\"2y=-4%2B2y-4\"   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=2y=2y-8 ALIGN=MIDDLE  ALT=\"2y=2y-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a false statement.<BR>\n" );
document.write( "NO SOLUTION.\r<BR>\n" );
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document.write( "Notice the two equations solved for y in terms of x, starting with the way each was given:<BR>\n" );
document.write( "<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-x%2B4 ALIGN=MIDDLE  ALT=\"2y=-x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F2%2B2 ALIGN=MIDDLE  ALT=\"y=-x%2F2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-2x-8 ALIGN=MIDDLE  ALT=\"4y=-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2F4-2 ALIGN=MIDDLE  ALT=\"y=-2x%2F4-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x-2 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "BOTH SLOPES are  <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;\" >, the lines for each equation are parallel, therefore they never intersect, and this means NO POINT COMMON TO BOTH LINES. \r<BR>\n" );
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document.write( "Meaning, solving the given system using whatever method will yield NO SOLUTION.  </SPAN>\n" );
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