document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368733>Question 368733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=5x+6<BR>\n" );
document.write( "-18x+3y=-54<BR>\n" );
document.write( "Are the graphs of the lines in the pair parallel? Explain.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "In the second equation, divide everything by 3: -6x+y=-54<BR>\n" );
document.write( "Then, add 54 to each side: 54-6x+y=0<BR>\n" );
document.write( "Next, subtract y from each side: -6x+54=-y<BR>\n" );
document.write( "Now, add the two equations together: 0=-x+60<BR>\n" );
document.write( "Finally, add x to both sides: x=60<BR>\n" );
document.write( "The equation \"x=60\" denotes a vertical line, but the equation \"y=5x+6\" denotes a line with a slope of 5, so the lines are not parallel. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262699 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=5x+6..............1\r<BR>\n" );
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document.write( "...<BR>\n" );
document.write( "-18x+3y=-54\r<BR>\n" );
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document.write( "3y= 18x-54<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "y = 6x -18 .......2<BR>\n" );
document.write( "compare the slopes.<BR>\n" );
document.write( "They are not the same. Hence they are not parallel lines.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C5%2C-5%2C100%2C%285x%2B6%29%2C%2818x-54%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-6%2C5%2C-5%2C100%2C%285x%2B6%29%2C%2818x-54%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );