document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332774>Question 332774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I own a company that sells high-end computers; I made 2 orders from a vendor: the first one was for 1300 desktops and 400 laptops totaling $48,700.  The second order was for 600 desktops and 200 laptops totaling $23,200. The receipts were not itemized.  What is the cost of one desktop and one laptop?\r<BR>\n" );
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document.write( "I need to be able to show the work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238486 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let D=cost of desktop<BR>\n" );
document.write( "let L=cost of laptop<BR>\n" );
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document.write( "you have these two unknowns, so you need two independet equations to solve <BR>\n" );
document.write( "(always need as many equations as there are unknowns!!)\r<BR>\n" );
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document.write( "you are given<BR>\n" );
document.write( "order #1:  1300*D + 400*L=48700<BR>\n" );
document.write( "order #2:  600*D + 200*L=23200<BR>\n" );
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document.write( "simplify (always simply if can, to save you effort later on)\r<BR>\n" );
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document.write( "divide first equation by 100<BR>\n" );
document.write( "13*D + 4*L=487<BR>\n" );
document.write( "divide second equation by 200<BR>\n" );
document.write( "3*D + L=116<BR>\n" );
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document.write( "now you can either solve via by elimination or substitution (among many other methods)<BR>\n" );
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document.write( "try elimination\r<BR>\n" );
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document.write( "13*D +4*L=487<BR>\n" );
document.write( "3*D + L =116   (multiply this equation by -4)<BR>\n" );
document.write( "-12*D-4*L = -464<BR>\n" );
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document.write( "add the first and modified 3rd equation, to eliminate the L variable<BR>\n" );
document.write( "D=487-464=23<BR>\n" );
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document.write( "since D=23, go upstream and subtitute this D=23 into one of the equation to solve for L<BR>\n" );
document.write( "13*D +4*L=487<BR>\n" );
document.write( "3*D + L =116  i'll choose this one\r<BR>\n" );
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document.write( "3*(23) + L =116<BR>\n" );
document.write( "L=116-3*(23) =47<BR>\n" );
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document.write( "so, D=23 and L=47<BR>\n" );
document.write( "check with the original equations to make sure no mistake was made\r<BR>\n" );
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document.write( "order #1:  1300*D + 400*L=48700 check 1300*23+400*47<BR>\n" );
document.write( "order #2:  600*D + 200*L=23200   check 600*23+200*47\r<BR>\n" );
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document.write( "   </SPAN>\n" );
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