document.write( "Question 1034917: Solve the following system of equations using cramer`s rule
\n" ); document.write( "2x + y - z= 5
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\n" ); document.write( "x - 3y -3z = -2 \n" ); document.write( "
Algebra.Com's Answer #649565 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "Instead of doing yours for you, I'll do one exactly\r\n" );
document.write( "like it, so you can use it as a model and learn to\r\n" );
document.write( "do this kind of problem by yourself:\r\n" );
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document.write( "x+y+z = 6\r\n" );
document.write( "2x-y+z = 3\r\n" );
document.write( "x+2y-3z = -4\r\n" );
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document.write( "First put in all the 1, -1, and 0 coefficients, if\r\n" );
document.write( "necessary:\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 \r\n" );
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document.write( "2. The column of y-coefficients \r\n" );
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document.write( "3. The column of z-coefficients  \r\n" );
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document.write( "4. The column of constants:     \r\n" );
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document.write( "I colored the column of constants red because that is\r\n" );
document.write( "the column that \"moves\" from left to right in the \r\n" );
document.write( "determinants.\r\n" );
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document.write( "There are four determinants:\r\n" );
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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" );
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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, ask me in the thank-you note form below\r\n" );
document.write( "this problem.  I don't charge any money.  I do this for fun! \r\n" );
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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" );
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document.write( "It has value .\r\n" );
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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" );
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document.write( "It has value .\r\n" );
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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" );
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document.write( "It has value .\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( "Now do the same with yours.  \r\n" );
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document.write( "[Hint as a check: Two of the values of your solution are\r\n" );
document.write( "the same as two of the values in the problem I worked above.] \r\n" );
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document.write( "Edwin
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