document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042186>Question 1042186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't find the points for the equations 5x-4y=1 and 10x-8y=2. Can you help me ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657142 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reason is that they are the same equation!<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+4y+=+1+ ALIGN=MIDDLE  ALT=\"+5x+-+4y+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10x+-+8y+=+2+ ALIGN=MIDDLE  ALT=\"+10x+-+8y+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "If you multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "then you get (2) <BR>\n" );
document.write( "( you haven't changed (1) AT ALL, by doing that )<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "If you divide both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "you get (1)<BR>\n" );
document.write( "( again, you haven't changed (2) the least bit )<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "When you are comparing 2 linear equations like this,<BR>\n" );
document.write( "the possibilities are:<BR>\n" );
document.write( "(1) They are the same equation<BR>\n" );
document.write( "(2) They are parallel equations<BR>\n" );
document.write( "(3) They intersect at some point<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Hope this helps </SPAN>\n" );
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