document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56354>Question 56354</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937787/algebrahomeworkh>algebra 2 equations graphs applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> hello, <BR>\n" );
document.write( " were solving linear equations by graphing, and i am having a little troble with this problem, -8x+12y=48  2x-3y=6. when i solve for the variables i get (-6,4) and (3,-2) so the lines are parallel, but my teacher informed me that the lines are not supposed to parallel. i am very confused and any help would be greatly appriciated. thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38221 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=38221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8x%2B12y=48 ALIGN=MIDDLE  ALT=\"+-8x%2B12y=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x-3y=6+ ALIGN=MIDDLE  ALT=\"+2x-3y=6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "get both equations in y=mx+b (point-slope form)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12y+=+8x+%2B48+ ALIGN=MIDDLE  ALT=\"+12y+=+8x+%2B48+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3y+=-2x+%2B6+ ALIGN=MIDDLE  ALT=\"+-3y+=-2x+%2B6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide the first by 12 and divide the second by -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8x%2F12+%2B48%2F12+ ALIGN=MIDDLE  ALT=\"+y+=+8x%2F12+%2B48%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=-2x%2F-3+%2B6%2F-3+ ALIGN=MIDDLE  ALT=\"+y+=-2x%2F-3+%2B6%2F-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Reduce the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2x%2F3+%2B+4+ ALIGN=MIDDLE  ALT=\"+y+=+2x%2F3+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=2x%2F3+-2+ ALIGN=MIDDLE  ALT=\"+y+=2x%2F3+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice how the m value IS exactly the same.  so assuming your wrote the problem correctly .. they ARE parallel.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%282x%2F3%29%2B4%2C+%282x%2F3%29-2+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%282x%2F3%29%2B4%2C+%282x%2F3%29-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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