document.write( "Question 1204264: solve the linear system of equations by crammers rule=
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Algebra.Com's Answer #840403 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "To solve using 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%2F2%2C3%2C-6%29\"\r\n" );
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document.write( "2. The column of y-coefficients \"matrix%283%2C1%2C3%2C4%2C3%29\"\r\n" );
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document.write( "3. The column of z-coefficients \"matrix%283%2C1%2C2%2C5%2C-2%29\" \r\n" );
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document.write( "4. The column of constants:     \"red%28matrix%283%2C1%2C-1%2C-2%2C-7%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%2C-1%2F2%2C3%2C2%2C3%2C4%2C5%2C-6%2C3%2C-2%29%29\". \r\n" );
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document.write( "It has value \"D=5.5\".  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=-50\".\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=-61.5\".\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%5Bz%5D=77\".\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=%28-50%29%2F%285.5%29=-500%2F55=-100%2F11\"\r\n" );
document.write( "\"y=D%5By%5D%2FD=%28-61.5%29%2F%285.5%29=-615%2F55=-123%2F11\"\r\n" );
document.write( "\"x=D%5Bz%5D%2FD=%2877%29%2F%285.5%29=770%2F55=14\"\r\n" );
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document.write( "Answer: \"x=-100%2F11\"`  \"y=-123%2F11\"    \"z=14\"\r\n" );
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document.write( "Edwin
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