document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140938>Question 1140938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations using substitution and elimination. Please include step by step line by line explanations\r<BR>\n" );
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document.write( "3x+y=9<BR>\n" );
document.write( "9x+3y=12  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761474 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=761474\">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=system%283x%2By=9%2C9x%2B3y=12%29 ALIGN=MIDDLE  ALT=\"system%283x%2By=9%2C9x%2B3y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At least simplify the second equation, division by 3 both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2By=9%2C3x%2By=4%29 ALIGN=MIDDLE  ALT=\"system%283x%2By=9%2C3x%2By=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, regardless of substitution or elimination method, these are two parallel lines so NO SOLUTION for the system.\r<BR>\n" );
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document.write( "Look!  Simplifying the second equation gives you two equations representing lines <b>WITH THE SAME SLOPE</b>.  The lines will be parallel and <b>do NOT intersect</b>.\r<BR>\n" );
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document.write( "<b>NO SOLUTION!</b>\r<BR>\n" );
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document.write( "Still not satisfied?  Try substitution.  Take first equation and solve for y in terms of x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3x%2B9 ALIGN=MIDDLE  ALT=\"y=-3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The second equation of the system was already simplifiable to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=4 ALIGN=MIDDLE  ALT=\"3x%2By=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now substitute for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B%28-3x%2B9%29=4 ALIGN=MIDDLE  ALT=\"3x%2B%28-3x%2B9%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-3x%2B9=4 ALIGN=MIDDLE  ALT=\"3x-3x%2B9=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=4 ALIGN=MIDDLE  ALT=\"9=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do you see a contradiction here?   Did you find a solution for the variable, x?  <BR>\n" );
document.write( "NO SOLUTION </SPAN>\n" );
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