document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818295>Question 818295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Looking for the value of c when the system of equations is inconsistent (parallel lines).<BR>\n" );
document.write( "2x+cy=11<BR>\n" );
document.write( "5x-7y=5\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492466 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> parallel lines have the same slope, so let's put each equation in standard form, y = mx +b where m is the slope and b is the y intercept<BR>\n" );
document.write( "2x + cy = 11<BR>\n" );
document.write( "cy = -2x + 11<BR>\n" );
document.write( "y = -2x/c + 11/c<BR>\n" );
document.write( "5x - 7y = 5<BR>\n" );
document.write( "-7y = -5x + 5<BR>\n" );
document.write( "y = 5x/7 - 5/7<BR>\n" );
document.write( "now set the two slopes equal to each other<BR>\n" );
document.write( "5/7 = -2/c<BR>\n" );
document.write( "5c = -14<BR>\n" );
document.write( "c = -14/5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );