document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051839>Question 1051839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -x+2y=-2<BR>\n" );
document.write( "3x=6y+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667311 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=667311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -x+2y=-2<BR>\n" );
document.write( "3x=6y+6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-x%2B2y=-2%2C3x=6y%2B6%29 ALIGN=MIDDLE  ALT=\"system%28-x%2B2y=-2%2C3x=6y%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put both into standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-x%2B2y=-2%2C3x-6y=6%29 ALIGN=MIDDLE  ALT=\"system%28-x%2B2y=-2%2C3x-6y=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify if possible.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-x%2B2y=-2%2Cx-2y=2%29 ALIGN=MIDDLE  ALT=\"system%28-x%2B2y=-2%2Cx-2y=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Good idea may be to multiply either equation entirely by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make coefficients to have the same sign for corresponding parts.<BR>\n" );
document.write( "Try doing this to the first equation of this simplified system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x-2y=2%2Cx-2y=2%29 ALIGN=MIDDLE  ALT=\"system%28x-2y=2%2Cx-2y=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But what do you notice?   <BR>\n" );
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document.write( "NO SOLUTION.<BR>\n" );
document.write( "WHY?  Equal slopes.  Equal constants.  Lines are the same.<BR>\n" );
document.write( "More correctly stated, the two equations are equivalent and represent the same line. </SPAN>\n" );
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