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