document.write( "Question 63502: Given the following system of three equations, write as an augmented matrix.
\n" ); document.write( "3x - 2y + z = 4
\n" ); document.write( "2x + y = 3
\n" ); document.write( "x + 2y - 3z = 5
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Algebra.Com's Answer #44184 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Given the following system of three equations,\r\n" );
document.write( "write as an augmented matrix.\r\n" );
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document.write( "3x - 2y + z = 4\r\n" );
document.write( "2x + y = 3\r\n" );
document.write( "x + 2y - 3z = 5\r\n" );
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document.write( "Line up the like variables on the left,\r\n" );
document.write( "the equal signs and the constant terms \r\n" );
document.write( "on the right like this:\r\n" );
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document.write( "3x - 2y +  z = 4\r\n" );
document.write( "2x +  y      = 3\r\n" );
document.write( " x + 2y - 3z = 5\r\n" );
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document.write( "Put 1 coefficients where they are understood:\r\n" );
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document.write( "3x - 2y + 1z = 4\r\n" );
document.write( "2x + 1y      = 3\r\n" );
document.write( "1x + 2y - 3z = 5\r\n" );
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document.write( "There is no z term in the 2nd equation. So\r\n" );
document.write( "fill that space in with \" + 0z \"\r\n" );
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document.write( "3x - 2y + 1z = 4\r\n" );
document.write( "2x + 1y + 0z = 3\r\n" );
document.write( "1x + 2y - 3z = 5\r\n" );
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document.write( "Now erase all the variables\r\n" );
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document.write( "3  - 2  + 1  = 4\r\n" );
document.write( "2  + 1  + 0  = 3\r\n" );
document.write( "1  + 2  - 3  = 5\r\n" );
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document.write( "Place the signs close to the\r\n" );
document.write( "numbers.\r\n" );
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document.write( "3   -2   +1  = 4\r\n" );
document.write( "2   +1   +0  = 3\r\n" );
document.write( "1   +2   -3  = 5\r\n" );
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document.write( "Erase the + signs:\r\n" );
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document.write( "3   -2    1  = 4\r\n" );
document.write( "2    1    0  = 3\r\n" );
document.write( "1    2   -3  = 5\r\n" );
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document.write( "Replace the equal signs with\r\n" );
document.write( "a dotted line:\r\n" );
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document.write( "3   -2    1  | 4\r\n" );
document.write( "2    1    0  | 3\r\n" );
document.write( "1    2   -3  | 5\r\n" );
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document.write( "Now place brackets around the whole \r\n" );
document.write( "thing:\r\n" );
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document.write( "æ3   -2    1  | 4ö\r\n" );
document.write( "ç2    1    0  | 3÷\r\n" );
document.write( "è1    2   -3  | 5ø\r\n" );
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document.write( "That's the augmented matrix.\r\n" );
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document.write( "Edwin
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