document.write( "Question 1205946: Can some please help me solve and understand this problem?
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Algebra.Com's Answer #843061 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"matrix%282%2C3%2C%0D%0A1%2C-4%2C5%2C%0D%0A7%2C-3%2C2%29\" \r
\n" ); document.write( "\n" ); document.write( "1. write the equation for the augmented matrix\r
\n" ); document.write( "\n" ); document.write( "your matrix represents following system of linear equations:\r
\n" ); document.write( "\n" ); document.write( "\"x-4y=5\"
\n" ); document.write( "\"7x-3y=2\"\r
\n" ); document.write( "\n" ); document.write( "Write the coefficients of the x-terms as the numbers down the first column.
\n" ); document.write( "Write the coefficients of the y-terms as the numbers down the second column.
\n" ); document.write( "If there are z-terms, write the coefficients as the numbers down the third column.
\n" ); document.write( "Draw a vertical line and write the constants to the right of the line.
\n" ); document.write( " the system of linear equations, as follows:\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C2%2C%0D%0A1%2C-4%2C%0D%0A7%2C-3%29\" |\"matrix%282%2C1%2C5%2C2%29\"
\n" ); document.write( "2.
\n" ); document.write( "write a row-reduction algorithm to help your classmate or family member solve the matrix
\n" ); document.write( "Algorithm(Row Reduction)\r
\n" ); document.write( "\n" ); document.write( "Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations.\r
\n" ); document.write( "\n" ); document.write( "Your matrix\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C-4%2C5%2C%0D%0A7%2C-3%2C2%29\"\r
\n" ); document.write( "\n" ); document.write( "Find the pivot in the 1st column in the 1st row\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A7%2C%09-3%2C%092%29\"\r
\n" ); document.write( "\n" ); document.write( "Eliminate the 1st column\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A0%2C%0925%2C%09-33%29\"\r
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\n" ); document.write( "\n" ); document.write( "Make the pivot in the 2nd column by dividing the 2nd row by \"25\"\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A0%2C%091%2C%09-33%2F25%29\"\r
\n" ); document.write( "\n" ); document.write( "Eliminate the 2nd column\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C%090%2C%09-7%2F25%2C%0D%0A0%2C%091%2C%09-33%2F25%29\"\r
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\n" ); document.write( "\n" ); document.write( "3.
\n" ); document.write( "perform your algorithm to solve the matrix\r
\n" ); document.write( "\n" ); document.write( "\"matrix%282%2C3%2C%0D%0A1%2C%090%2C%09-7%2F25%2C%0D%0A0%2C%091%2C%09-33%2F25%29\"\r
\n" ); document.write( "\n" ); document.write( "the solution of your system is in the third column:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-7%2F25\"
\n" ); document.write( "\"y+=+-33%2F25\"\r
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