document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421830>Question 421830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -4x-2y=-8         y=-2x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853221 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53339)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "-4x-2y=-8 <BR>\n" );
document.write( "y=-2x+4<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The conclusion and the answer in the post by @mananth both are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His answer is &nbsp;\" There is no solution to this system \".\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The correct answer is &nbsp;OPPOSITE : &nbsp;&nbsp;there are infinitely many solutions to this system.\r<BR>\n" );
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document.write( "Indeed, the first equation can be equivalently transformed/re-written\r\n" );
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document.write( "    -4x - 2y = -8,\r\n" );
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document.write( "     4x + 2y = 8,\r\n" );
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document.write( "     2x + y = 4,\r\n" );
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document.write( "     y = -2x + 4.\r\n" );
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document.write( "Then you see that this transformed equation is IDENTICAL to the second equation.\r\n" );
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document.write( "Thus the system consists of two equivalent equation - such systems have infinitely many solutions.\r\n" );
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document.write( "You can take any value for 'x' and calculate the relevant value of 'y'.\r\n" );
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document.write( "Then the pair (x,y) will be solution for both equations,\r\n" );
document.write( "and doing this way, you get infinitely many solutions.\r\n" );
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document.write( "Again, &nbsp;the answer in the post by @mananth is &nbsp;INCORRECT.<BR>\n" );
document.write( "The correct answer is &nbsp;OPPOSITE.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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