document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709407>Question 709407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of p for which the following system of eq has exactly 1 solution 7x-5y-4=0 and 14x+py+4=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436555 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=436555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p must be chosen just so that the slopes of the two lines are different.  That condition is p<-10 and p>-10.  p can be any real number, just not -10.\r<BR>\n" );
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document.write( "Your equations:<BR>\n" );
document.write( "7x-5y-4=0 and 14x+py+4=0\r<BR>\n" );
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document.write( "The first one, -5y=-7x+4, y=(7/5)x+4, the slope is (7/5).\r<BR>\n" );
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document.write( "The second equation, py=-14x-4, y=(-14/p)x-4, the slope is variably (-14/p).\r<BR>\n" );
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document.write( "If the slopes of the two lines are DIFFERNT, then the system will have ONE solution.  If p=-10, then the second line has slope (-14/-10)=7/5, and is parallel to the first line and then the system has no solution.  \r<BR>\n" );
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document.write( "The only requirement for the two lines meeting in one point is that p NOT equal -10. </SPAN>\n" );
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