document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209399>Question 1209399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations\r<BR>\n" );
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document.write( "a+2b+3c+4d+5e=41\r<BR>\n" );
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document.write( "2a+3b+4c+5d = 34\r<BR>\n" );
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document.write( "3a+4b+5c =15\r<BR>\n" );
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document.write( "4a+5b = 16\r<BR>\n" );
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document.write( "5a = 20 </SPAN>\n" );
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document.write( "Start at the bottom and work your way up.\r<BR>\n" );
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document.write( "5a = 20 means a = 4<BR>\n" );
document.write( "4a+5b = 16 leads to 4*4+5b = 16 which yields b = 0<BR>\n" );
document.write( "3a+4b+5c = 15 leads to 3*4+4*0+5c = 15 which yields c = 3/5<BR>\n" );
document.write( "And so on.\r<BR>\n" );
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document.write( "The solution you should end up at is <font color=red>(a, b, c, d, e) = (4, 0, 3/5, 118/25, 408/125)</font>\r<BR>\n" );
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document.write( "3/5 = 0.6<BR>\n" );
document.write( "118/25 = 4.72<BR>\n" );
document.write( "408/125 = 3.264<BR>\n" );
document.write( "Each decimal value is exact and hasn't been rounded.<BR>\n" );
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