document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669184>Question 669184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> grace bought 10 handkerchief and 8 fans for 312.00 pesos. after a week, at the same prices, she bought 12 handkerchief and 5 fans for 264.oo pesos. find the cost of each item. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416292 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=416292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Establish variables<BR>\n" );
document.write( "x = handkerchief<BR>\n" );
document.write( "y = fan<BR>\n" );
document.write( "...<BR>\n" );
document.write( "10x + 8y = 312<BR>\n" );
document.write( "12x + 5y = 264<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply the first equation by -5 and the second one by 8<BR>\n" );
document.write( "-5(10x+8y=312)<BR>\n" );
document.write( "8(12x+5y=264)<BR>\n" );
document.write( "yielding<BR>\n" );
document.write( "-50x + -40y = -1560<BR>\n" );
document.write( "96x + 40y = 2112<BR>\n" );
document.write( "Add <BR>\n" );
document.write( "-50x + 96x + -40y + 40y = -1560 + 2112<BR>\n" );
document.write( "46x = 552<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+12%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollar handkerchief<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply the first equation by 12 and the second one by -10<BR>\n" );
document.write( "12(10x+8y=312)<BR>\n" );
document.write( "-10(12x+5y=264)<BR>\n" );
document.write( "yielding<BR>\n" );
document.write( "120x + 96y = 3744<BR>\n" );
document.write( "-120x + -50y = -2640<BR>\n" );
document.write( "Add<BR>\n" );
document.write( "120x + -120x + 96y + -50y = 3744 + -2640<BR>\n" );
document.write( "46y = 1104<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+24%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollar fan<BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );