document.write( "Question 155949: 
I am completely lost on how to solve augmented matrices. \r\n" );
document.write( "If you could show me step by step how to solve the \r\n" );
document.write( "following equation it would be great.  \r\n" );
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document.write( "3x + 4y = 11\r\n" );
document.write( " x + 3y = 2\r\n" );
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document.write( "I know you have to break it down like this \r\n" );
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document.write( "[ 3 4 11]\r\n" );
document.write( "[ 1 3  2]\r\n" );
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document.write( "After this however I am  lost.
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Algebra.Com's Answer #114889 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
I am completely lost on how to solve augmented matrices. \r\n" );
document.write( "If you could show me step by step how to solve the \r\n" );
document.write( "following equation it would be great.  \r\n" );
document.write( "\r\n" );
document.write( "3x + 4y = 11\r\n" );
document.write( " x + 3y = 2\r\n" );
document.write( " \r\n" );
document.write( "I know you have to break it down like this \r\n" );
document.write( "\r\n" );
document.write( "[ 3 4 11]\r\n" );
document.write( "[ 1 3  2]\r\n" );
document.write( "\r\n" );
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( "[ 3 4 11]\r\n" );
document.write( "[ 1 3  2]\r\n" );
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document.write( "Get a 0 where the 1 is: \r\n" );
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document.write( "Multiply the bottom row through by -3\r\n" );
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document.write( "[ 3  4 11]\r\n" );
document.write( "[-3 -9 -6]\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( "[ 3  4 11]\r\n" );
document.write( "[ 0 -5  5]\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 by 5 and the bottom\r\n" );
document.write( "row by 4:\r\n" );
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document.write( "[15  20  55]\r\n" );
document.write( "[ 0 -20  20]\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( "[15   0  75]\r\n" );
document.write( "[ 0 -20  20]\r\n" );
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document.write( "Get a 1 where the 15 is by dividing the\r\n" );
document.write( "top row through by 15\r\n" );
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document.write( "Get a 1 where the -20 is by dividing the\r\n" );
document.write( "bottom row through by -20\r\n" );
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document.write( "[ 1   0   5]\r\n" );
document.write( "[ 0   1  -1]\r\n" );
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document.write( "The two numbers in the right-most column \"matrix%282%2C1%2C5%2C-1%29\" \r\n" );
document.write( "are the answers:\r\n" );
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document.write( "x = 5, and y = -1\r\n" );
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document.write( "Edwin
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