document.write( "Question 48509This question is from textbook College Algebra
\n" ); document.write( ": The system of linear equations has an unique solution. Find the solution using Gaussian elimination of Gauss-Jordan elimination.\r
\n" ); document.write( "\n" ); document.write( "These equations use sub-exponents, though.\r
\n" ); document.write( "\n" ); document.write( "2x sub(1) + x sub(2) = 7
\n" ); document.write( "2x sub(1) - x sub(2) + x sub(3) = 6
\n" ); document.write( "3x sub(1) -2x sub(2) +4x sub(3) = 11\r
\n" ); document.write( "\n" ); document.write( "How do you treat these sub-exponents?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much! \n" ); document.write( "
Algebra.Com's Answer #32140 by AnlytcPhil(1806)\"\" \"About 
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The system of linear equations has an unique solution. \r\n" );
document.write( "Find the solution using Gaussian elimination of Gauss-Jordan\r\n" );
document.write( "elimination.\r\n" );
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document.write( "These equations use sub-exponents, though.\r\n" );
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document.write( "2x1 +  x2       =  7\r\n" );
document.write( "2x1 -  x2 +  x3 =  6\r\n" );
document.write( "3x1 - 2x2 + 4x3 = 11\r\n" );
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document.write( "How do you treat these sub-exponents?\r\n" );
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document.write( "They're called \"subscripts\" not \"sub-exponents\".  It is exactly \r\n" );
document.write( "the same as the problem\r\n" );
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document.write( "2x +  y      =  7\r\n" );
document.write( "2x -  y +  z =  6\r\n" );
document.write( "3x - 2y + 4z = 11\r\n" );
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document.write( "Which has solution (x, y, z) = (3, 1, 1)\r\n" );
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document.write( "So your problem has solution (x1, x2, x3) = (3, 1, 1)\r\n" );
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document.write( "You see, in practical real life problems that are done in, say, \r\n" );
document.write( "Excel, there may be more than 26 unknowns.  But there are only 26 \r\n" );
document.write( "alphabet letters.  So to fix the problem they use numbered \r\n" );
document.write( "subscripts for the same letter.  The book could have given you \r\n" );
document.write( "just x, y and z, but the author and your teacher wanted to \r\n" );
document.write( "introduce to you subscripted variables. It's possible to run out\r\n" );
document.write( "of letters, but not subscripts.\r\n" );
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document.write( "Edwin
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