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 #262702 by </B><A HREF=/tutors/aboutme.mpl?userid=acmc><B>acmc(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acmc><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=262702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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( "</TD></TR></TABLE>\n" );