document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248015>Question 248015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5r-4s= -6  and 4r+5s=69 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180785 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=180785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5r - 4s = -6<BR>\n" );
document.write( "4r + 5s = 69<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Subtract the second equation from the first<BR>\n" );
document.write( ".<BR>\n" );
document.write( "r - 9s = -75<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Add 9s to both sides.<BR>\n" );
document.write( "r = 9s - 75<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substitute<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4r + 5s = 69<BR>\n" );
document.write( "4(9s - 75) + 5s = 69<BR>\n" );
document.write( "36s - 300 + 5s = 69<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Add 300 to both sides<BR>\n" );
document.write( "36s + 5s = 300 + 69<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Collect terms.<BR>\n" );
document.write( "41s = 369<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Divide both sides by 41.<BR>\n" );
document.write( "s = 369/41 = 9<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substitute into the other equation.<BR>\n" );
document.write( "4r + 5(9) = 69<BR>\n" );
document.write( "4r + 45 = 69<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Subtract 45 from both sides.<BR>\n" );
document.write( "4r = 24<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Divide both sides by 4.<BR>\n" );
document.write( "r = 6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, we have the candidate answer is:<BR>\n" );
document.write( "s = 9<BR>\n" );
document.write( "r = 6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check by substituting the values into the original equations.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "5r - 4s = -6<BR>\n" );
document.write( "5r = 30<BR>\n" );
document.write( "4s = 36<BR>\n" );
document.write( "5r - 4s = -6<BR>\n" );
document.write( "OK<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4r + 5s = 69<BR>\n" );
document.write( "4r = 24<BR>\n" );
document.write( "5s = 45<BR>\n" );
document.write( "4r + 5s = 69<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );