document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41361>Question 41361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the proportion<BR>\n" );
document.write( "(c+3)/(C-1) = (c+2)/(c-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26707 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To begin, cross-multiply:\r<BR>\n" );
document.write( "\n" );
document.write( "(c+3)(c-3) = (c-1)(c+2)\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply the factors using FOIL:\r<BR>\n" );
document.write( "\n" );
document.write( "c^2 - 3c + 3c - 9 = c^2 + 2c - c - 2\r<BR>\n" );
document.write( "\n" );
document.write( "Combine like terms:<BR>\n" );
document.write( "c^2 - 9 = c^2 + - c - 2\r<BR>\n" );
document.write( "\n" );
document.write( "Sovle for c:\r<BR>\n" );
document.write( "\n" );
document.write( "c^2 - c^2 - 9 = c^2 -c^2 + - c - 2<BR>\n" );
document.write( "- 9 = - c - 2<BR>\n" );
document.write( "- 9 + 2 = - c - 2 + 2<BR>\n" );
document.write( "-7 = c<BR>\n" );
document.write( "Solve for c:<BR>\n" );
document.write( "Checking the answer by plugging -7 back into the original equation:<BR>\n" );
document.write( "(-7+3)/(-7-1) = (-7+2)/(-7-3)\r<BR>\n" );
document.write( "\n" );
document.write( "-4/-8 = -5/-10\r<BR>\n" );
document.write( "\n" );
document.write( "1/2 = 1/2  So, the answer checks out. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );