document.write( "Question 106425: From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns. Be creative. Do not use word problems that are in the assignments or course material.\r
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document.write( "é1  1  1ùéxù    é100ù\r\n" );
document.write( "ê5 -3  0úêyú = ê 10ú\r\n" );
document.write( "ë0  3  4ûëzû    ë290û
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Algebra.Com's Answer #77434 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
if we have this matrix:\r
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\n" ); document.write( "\n" ); document.write( "[1,1,1][x]= [100]
\n" ); document.write( "[5,-3,0][y]= [10]
\n" ); document.write( "[0,3,4] [z]= [290]\r
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\n" ); document.write( "\n" ); document.write( "the system of equations is:\r
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\n" ); document.write( "\n" ); document.write( " \"x++%2B++y++%2B++z++=+100\"
\n" ); document.write( "\"5x++-+3y++++++++++=++10\"
\n" ); document.write( "\"+3y++%2B+4z+=+290\"\r
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\n" ); document.write( "\n" ); document.write( "and a real-world word problem could be:\r
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\n" ); document.write( "\n" ); document.write( "Three detectives named Mr. Clueless (let the number of cases the he has solved be \"x\"), Mr. Confused (let the number of cases the he has solved be \"y\"), and Mr. Smarty Pants (let the number of cases the he has solved be \"z\") all together have solved \"100\" \"cold\"\"+cases\".
\n" ); document.write( "Since Mr. Clueless is kind of \"\"slow\"\", his \"quintuple\" number of cases is \"10\" less then \"triple\" number of Mr. Confused cases. We also know that a \"sum+\"of \"triple\" number of Mr. Confused cases and \"quadruple\" number of Mr. Smarty Pants cases is \"290\".
\n" ); document.write( "What a number of \"cold\"\"+cases\" have each of them solved?\r
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