document.write( "Question 1069415: cramer rule
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Algebra.Com's Answer #684641 by Edwin McCravy(20060)\"\" \"About 
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x+2y+2z=2
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document.write( "Write in all the 1 coefficients, as well as +0y\r\n" );
document.write( "in the third equation for the missing term in y:\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%2C1%2C1%2C1%29\"\r\n" );
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document.write( "2. The column of y-coefficients \"matrix%283%2C1%2C2%2C1%2C0%29\"\r\n" );
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document.write( "3. The column of z-coefficients \"matrix%283%2C1%2C2%2C1%2C-2%29\" \r\n" );
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document.write( "4. The column of constants:     \"red%28matrix%283%2C1%2C2%2C0%2C-0.4%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%2C1%2C2%2C2%2C1%2C1%2C1%2C1%2C0%2C-2%29%29\". \r\n" );
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document.write( "It has value \"D=2\".  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, ask me for help in the thank-you note\r\n" );
document.write( "form below. \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=-4\".\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=28%2F5\".\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=-8%2F5\".\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=%28-4%29%2F2=-2\"\r\n" );
document.write( "\"y=D%5By%5D%2FD=%2828%2F5%29%2F%28-2%29=%2828%2F5%29%281%2F2%29=14%2F5\"\r\n" );
document.write( "\"x=D%5Bz%5D%2FD=%28-8%2F5%29%2F2=%28-8%2F5%29%281%2F2%29=-4%2F5\"\r\n" );
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document.write( "Solution = \"%28matrix%281%2C5%2Cx%2C%22%2C%22%2Cy%2C%22%2C%22%2Cz%29%29\" = \"%28matrix%281%2C5%2C-2%2C%22%2C%22%2C14%2F5%2C%22%2C%22%2C-4%2F5%29%29\"\r\n" );
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document.write( "Edwin

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