document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952041>Question 952041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand<BR>\n" );
document.write( "Does this system have one solution, infinitely, or no solutions?\r<BR>\n" );
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document.write( "y=2x+5<BR>\n" );
document.write( "y-4x=-2\r<BR>\n" );
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document.write( "y=4x--2<BR>\n" );
document.write( "2x+5=4x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581440 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=581440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Change all the equations to standard form and you can do some matrix operations or maybe<BR>\n" );
document.write( "find some duplicates of any of them.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=2x%2B5%2Cy-4x=-2%2Cy=4x-%28-2%29%2C2x%2B5=4x-2%29 ALIGN=MIDDLE  ALT=\"system%28y=2x%2B5%2Cy-4x=-2%2Cy=4x-%28-2%29%2C2x%2B5=4x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x-y=5%2C-4x%2By=-2%2C-4x%2By=2%2C5=2x-2%29 ALIGN=MIDDLE  ALT=\"system%282x-y=5%2C-4x%2By=-2%2C-4x%2By=2%2C5=2x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x-y=5%2C4x-y=2%2C4x-y=-2%2C2x=7%29 ALIGN=MIDDLE  ALT=\"system%282x-y=5%2C4x-y=2%2C4x-y=-2%2C2x=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That last equation means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F2 ALIGN=MIDDLE  ALT=\"x=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Any solution of your system will need to include this value for x.  No restriction on y for it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%287-y=5%2C14-y=2%2C14-y=-2%2Cx=7%2F2%29 ALIGN=MIDDLE  ALT=\"system%287-y=5%2C14-y=2%2C14-y=-2%2Cx=7%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Do the first three equations agree?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=2%2Cy=12%2Cy=16%2Cx=7%2F2%29 ALIGN=MIDDLE  ALT=\"system%28y=2%2Cy=12%2Cy=16%2Cx=7%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This very beginner-level process is showing different values for y, but all for the same x value.<BR>\n" );
document.write( "They all need to agree but they do not agree.\r<BR>\n" );
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document.write( "NO SOLUTION.<BR>\n" );
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