document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271094>Question 271094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each problem, write a system of equations in two or<BR>\n" );
document.write( "three variables. Use the method of your choice to solve each<BR>\n" );
document.write( "system.\r<BR>\n" );
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document.write( "One night the manager of the Sea Breeze Motel rented<BR>\n" );
document.write( "5 singles and 12 doubles for a total of $390. The next night<BR>\n" );
document.write( "he rented 9 singles and 10 doubles for a total of $412.<BR>\n" );
document.write( "What is the rental charge for each type of room? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198488 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let x represent singles and y be doubles room. From this we can make two equations.<BR>\n" );
document.write( "5x+12y=390<BR>\n" );
document.write( "9x+10y=412<BR>\n" );
document.write( "Now multiply the first equation by -9 and the second equation by 5 to get:<BR>\n" );
document.write( "-45x-108y=-3510<BR>\n" );
document.write( "45x+50y=2060<BR>\n" );
document.write( "Now we can add these to get:<BR>\n" );
document.write( "-58y=-1450 Divide each side by -58 to get:<BR>\n" );
document.write( "y=25 Plug this answer into the first equation to solve x:<BR>\n" );
document.write( "5x+300=390 Subtract 300 from both sides and divide it by 5 to get:<BR>\n" );
document.write( "x=18<BR>\n" );
document.write( "There we go. $18 for single and $25 for double. Pretty cheap rent, huh?<BR>\n" );
document.write( "RJ <BR>\n" );
document.write( "A new book might help you out:<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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