document.write( "Question 1143266: Use Cramers rule to solve the system of equations that follow
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Algebra.Com's Answer #764046 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "3x + 2y +  z =  5\r\n" );
document.write( "2x + 3y +  z =  1\r\n" );
document.write( "2x +  y + 3z = 11\r\n" );
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document.write( "solve using cramers rule\r\n" );
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document.write( "Write in all the 1 and -1 coefficients:\r\n" );
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document.write( "Cramer's rule:\r\n" );
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document.write( "There are 4 columns,\r\n" );
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document.write( "1. The column of x-coefficients \"matrix%283%2C1%2C3%2C2%2C2%29\"\r\n" );
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document.write( "2. The column of y-coefficients \"matrix%283%2C1%2C2%2C3%2C1%29\"\r\n" );
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document.write( "3. The column of z-coefficients \"matrix%283%2C1%2C1%2C1%2C3%29\" \r\n" );
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document.write( "4. The column of constants:     \"red%28matrix%283%2C1%2C5%2C1%2C11%29%29\"\r\n" );
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document.write( "There are four determinants:\r\n" );
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document.write( "1. The determinant \"D\" consists of just the three columns\r\n" );
document.write( "of x, y, and z coefficients. in that order, but does not\r\n" );
document.write( "contain the column of constants.\r\n" );
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document.write( "\"D=abs%28matrix%283%2C3%2C3%2C2%2C1%2C2%2C3%2C1%2C1%2C1%2C3%29%29\". \r\n" );
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document.write( "It has value \"D=12\".  I'm assuming you know how to find the\r\n" );
document.write( "value of a 3x3 determinant, for that's a subject all by itself.\r\n" );
document.write( "If you don't know how, post again asking how. \r\n" );
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document.write( "2. The determinant \"D%5Bx%5D\" is like the determinant \"D\"\r\n" );
document.write( "except that the column of x-coefficients is replaced by the\r\n" );
document.write( "column of constants.  \"D%5Bx%5D\" does not contain the column \r\n" );
document.write( "of x-coefficients.\r\n" );
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document.write( "It has value \"D%5Bx%5D=24\".\r\n" );
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document.write( "3. The determinant \"D%5By%5D\" is like the determinant \"D\"\r\n" );
document.write( "except that the column of y-coefficients is replaced by the\r\n" );
document.write( "column of constants.  \"D%5By%5D\" does not contain the column \r\n" );
document.write( "of y-coefficients.\r\n" );
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document.write( "It has value \"D%5By%5D=24\".\r\n" );
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document.write( "4. The determinant \"D%5Bz%5D\" is like the determinant \"D\"\r\n" );
document.write( "except that the column of z-coefficients is replaced by the\r\n" );
document.write( "column of constants.  \"D%5Bz%5D\" does not contain the column \r\n" );
document.write( "of z-coefficients.\r\n" );
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document.write( "It has value \"D%5Bx%5D=36\".\r\n" );
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document.write( "Now the formulas for x, y and z are\r\n" );
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document.write( "\"x=D%5Bx%5D%2FD%5B%22%22%5D=24%2F12=2\"\r\n" );
document.write( "\"y=D%5By%5D%2FD=%28-24%29%2F12=-2\"\r\n" );
document.write( "\"x=D%5Bz%5D%2FD=36%2F12=3\"\r\n" );
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document.write( "Edwin

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