document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401034>Question 401034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question please. I have done the work but I get stuck when it comes to plugging it back into the equation. \r<BR>\n" );
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document.write( "2x+3y= -4<BR>\n" );
document.write( "4x+y= -3\r<BR>\n" );
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document.write( "I have:\r<BR>\n" );
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document.write( "-4x+6y= -8<BR>\n" );
document.write( "4x+y= -3\r<BR>\n" );
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document.write( "The 4's cancel and I am left with 7y= -11<BR>\n" );
document.write( "I divided the 7 and have -11 over 7 for y. \r<BR>\n" );
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document.write( "I don't understand how to plug it back into the equation. \r<BR>\n" );
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document.write( "Thank you.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283782 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=283782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help with this question please. I have done the work but I get stuck when it comes to plugging it back into the equation.<BR>\n" );
document.write( "2x+3y= -4<BR>\n" );
document.write( "4x+y= -3<BR>\n" );
document.write( "I have:<BR>\n" );
document.write( "-4x+6y= -8  (I think you made an error here when you multiplied the first equation by -2. The result should have been -4x-6y=8<BR>\n" );
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document.write( "You should have had these two equations to work with,\r<BR>\n" );
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document.write( "-4x-6y=8<BR>\n" );
document.write( " 4x+y=-3<BR>\n" );
document.write( "add the equations<BR>\n" );
document.write( "-5y=5<BR>\n" );
document.write( "y=-1<BR>\n" );
document.write( "substitute back into either equation, using the first,<BR>\n" );
document.write( "2x+3y= -4<BR>\n" );
document.write( "=2x+3*(-1)=-4<BR>\n" );
document.write( "=2x-3=-4<BR>\n" );
document.write( "=2x=-1<BR>\n" );
document.write( "x=-1/2\r<BR>\n" );
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document.write( "ans: x=-1/2, y=-1 (This is where the two straight-line equation intersect.<BR>\n" );
document.write( "see the graph below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+4%2C+-5%2C+5%2C+-2x%2F3-4%2F3%2C-4x-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-5%2C+5%2C+-2x%2F3-4%2F3%2C-4x-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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