document.write( "Question 1131432: Use the Cramer’s rule to solve the following system of linear equations;
\n" ); document.write( " x - y + z = 8,
\n" ); document.write( "2x + 3y - z = -2, .
\n" ); document.write( "3x - 2y - 9z = 9
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #748100 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the Cramer’s rule to solve the following system of linear equations;
\n" ); document.write( " x - y + z = 8,
\n" ); document.write( "2x + 3y - z = -2, .
\n" ); document.write( "3x - 2y - 9z = 9
\n" ); document.write( "
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Write in all the 1 and -1 coefficients:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cramer's rule:\r\n" );
document.write( " \r\n" );
document.write( "There are 4 columns,\r\n" );
document.write( " \r\n" );
document.write( "1. The column of x-coefficients \r\n" );
document.write( " \r\n" );
document.write( "2. The column of y-coefficients \r\n" );
document.write( " \r\n" );
document.write( "3. The column of z-coefficients  \r\n" );
document.write( " \r\n" );
document.write( "4. The column of constants:     \r\n" );
document.write( " \r\n" );
document.write( "There are four determinants:\r\n" );
document.write( " \r\n" );
document.write( "1. The determinant  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" );
document.write( " \r\n" );
document.write( ". \r\n" );
document.write( " \r\n" );
document.write( "It has value .  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, let me know in the message form below and\r\n" );
document.write( "I'll get back to you by email.  There is never any charge as I\r\n" );
document.write( "am a retired math professor just doing this for fun! :) \r\n" );
document.write( " \r\n" );
document.write( "2. The determinant  is like the determinant \r\n" );
document.write( "except that the column of x-coefficients is replaced by the\r\n" );
document.write( "column of constants.   does not contain the column \r\n" );
document.write( "of x-coefficients.\r\n" );
document.write( " \r\n" );
document.write( ".\r\n" );
document.write( " \r\n" );
document.write( "It has value .\r\n" );
document.write( " \r\n" );
document.write( "3. The determinant  is like the determinant \r\n" );
document.write( "except that the column of y-coefficients is replaced by the\r\n" );
document.write( "column of constants.   does not contain the column \r\n" );
document.write( "of y-coefficients.\r\n" );
document.write( " \r\n" );
document.write( ".\r\n" );
document.write( " \r\n" );
document.write( "It has value .\r\n" );
document.write( " \r\n" );
document.write( "4. The determinant  is like the determinant \r\n" );
document.write( "except that the column of z-coefficients is replaced by the\r\n" );
document.write( "column of constants.   does not contain the column \r\n" );
document.write( "of z-coefficients.\r\n" );
document.write( " \r\n" );
document.write( ".\r\n" );
document.write( " \r\n" );
document.write( "It has value .\r\n" );
document.write( " \r\n" );
document.write( "Now the formulas for x, y and z are\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );