document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29924>Question 29924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My professor gave us this problem and he told us to answer it in <BR>\n" );
document.write( "ax+by=c form. We have never answered any of our exquations in that form so I am really confused. Can you help, Please!!<BR>\n" );
document.write( "Problem: Find the equation of a line and express it in the form of ax+by=c<BR>\n" );
document.write( " X+3y=7<BR>\n" );
document.write( "4X+12y=-9\r<BR>\n" );
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document.write( "Thanks!!!!!<BR>\n" );
document.write( "Sarah </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16716 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=16716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> both of these are already in Ax+By=C form as opposed to y=mx+b\r<BR>\n" );
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document.write( "1X + 3y = 7<BR>\n" );
document.write( "4X +12y =-9\r<BR>\n" );
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document.write( "if we multiply the top equation by -4 we get ...<BR>\n" );
document.write( "-4x - 12y = -28<BR>\n" );
document.write( " 4x + 12y =  -9  now we add tthe two equations<BR>\n" );
document.write( " 0x +  0y = -37<BR>\n" );
document.write( " 0 = -37 NO! this is a false statement.  Lets see if we did it right.<BR>\n" );
document.write( "lets look at the lines once more and this time solve each in y=mx+b format<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1X+%2B+3y+=+7 ALIGN=MIDDLE  ALT=\"+1X+%2B+3y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4X+%2B12y+=-9+ ALIGN=MIDDLE  ALT=\"+4X+%2B12y+=-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y=-1x%2B7+ ALIGN=MIDDLE  ALT=\"+3y=-1x%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12y=-4x-9+ ALIGN=MIDDLE  ALT=\"+12y=-4x-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-1x%2F3+%2B+7%2F3+ ALIGN=MIDDLE  ALT=\"+y=-1x%2F3+%2B+7%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-4x%2F12+-+9%2F12+ ALIGN=MIDDLE  ALT=\"+y=-4x%2F12+-+9%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduce the fractions in the second equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-1x%2F3+-+3%2F4+ ALIGN=MIDDLE  ALT=\"+y=-1x%2F3+-+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > In this form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=mx%2Bb+ ALIGN=MIDDLE  ALT=\"+y=mx%2Bb+\"   DISABLED_style= \"max-width:90%; height:auto;\" > BOTH equations have m = -1/3\r<BR>\n" );
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document.write( "That means that these two lines are parallel and NEVER cross, therefore there is no Solution so :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3C%3E+-37+ ALIGN=MIDDLE  ALT=\"+0+%3C%3E+-37+\"   DISABLED_style= \"max-width:90%; height:auto;\" > was done correctly, but there is NO SOLUTION. </SPAN>\n" );
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