document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814115>Question 814115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the solutions of the systems of equations, if any<BR>\n" );
document.write( "-3x-4y=2\r<BR>\n" );
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document.write( "8y=-6x-4\r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490101 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=490101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the second equation, 8y=-6x-4, into the same form as the first and compare:\r<BR>\n" );
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document.write( "8y+6x=-4<BR>\n" );
document.write( "4y+3x=-2<BR>\n" );
document.write( "3x+4y=-2\r<BR>\n" );
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document.write( "Note how the coefficents on x and y are in proportion to the ones in the first equation.  NOW, try multiplying both sides of the second equation (now transformed) by negative 1:\r<BR>\n" );
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document.write( "-3x-4y=2.\r<BR>\n" );
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document.write( "This is exactly the same as the first equation.  The original system is really one single equation written in two different ways.  INFINITE SOLUTIONS. </SPAN>\n" );
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