document.write( "Question 156396: Solve the following matrix
\n" ); document.write( " [ 2 8 22 ]
\n" ); document.write( " [ 4 1 14 ]
\n" ); document.write( "I think you need to multiply the top by negative 2 and then subtract from the bottom. but I am confused from there. \n" ); document.write( "
Algebra.Com's Answer #115202 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Solve the following matrix\r\n" );
document.write( "           [ 2  8  22 ]\r\n" );
document.write( "           [ 4  1  14 ]\r\n" );
document.write( "I think you need to multiply the top by negative 2 and then subtract from the bottom. but I am confused from there.  \r\n" );
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document.write( "2x + 8y = 22\r\n" );
document.write( "4x +  y = 14\r\n" );
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document.write( "[ 2 8 22]\r\n" );
document.write( "[ 4 1 14]\r\n" );
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document.write( "After this however I am  lost.

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document.write( "You have to end up with a matrix that\r\n" );
document.write( "looks like this:\r\n" );
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document.write( "[ 1  0  #]\r\n" );
document.write( "[ 0  1  #]\r\n" );
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document.write( "Then the solutions for x and y will appear\r\n" );
document.write( "where the #'s are.\r\n" );
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document.write( "We get the 0's first, then we get the 1's:\r\n" );
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document.write( "Your augmented matrix is:\r\n" );
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document.write( "[ 2 8 22]\r\n" );
document.write( "[ 4 1 14]\r\n" );
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document.write( "Get a 0 where the 4 is: \r\n" );
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document.write( "Multiply the top row through by -2\r\n" );
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document.write( "[-4 -16 -44]\r\n" );
document.write( "[ 4   1  14]\r\n" );
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document.write( "Add the top row to the bottom row but\r\n" );
document.write( "leave the top row as it is:\r\n" );
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document.write( "[-4 -16 -44]\r\n" );
document.write( "[ 0 -15 -30]\r\n" );
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document.write( "Let's stop and simplify by dividing the\r\n" );
document.write( "top row through by -4, and the bottom row\r\n" );
document.write( "through by -15\r\n" );
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document.write( "[ 1  4 11]\r\n" );
document.write( "[ 0  1  2]\r\n" );
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document.write( "Get a 0 where the 4 is:\r\n" );
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document.write( "Multiply the bottom row by -4:\r\n" );
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document.write( "[ 1  4 11]\r\n" );
document.write( "[ 0 -4 -8]\r\n" );
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document.write( "Add the bottom row to the top row but keep\r\n" );
document.write( "the bottom row as it is.\r\n" );
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document.write( "[ 1  0   3]\r\n" );
document.write( "[ 0 -4  -8]\r\n" );
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document.write( "Get a 1 where the -4 is by dividing the\r\n" );
document.write( "bottom row through by -4\r\n" );
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document.write( "[ 1   0   3]\r\n" );
document.write( "[ 0   1   2]\r\n" );
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document.write( "The two numbers in the right-most column \"matrix%282%2C1%2C3%2C2%29\" \r\n" );
document.write( "are the answers:\r\n" );
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document.write( "x = 3, and y = 2\r\n" );
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document.write( "Edwin
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