document.write( "Question 1142298: One of my math problems asks that you use Cramer's rule to solve this linear system.
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document.write( "5x+10y=70
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document.write( "5x+25z=270
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document.write( "10y+25z=300
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document.write( "When I put zeros on the third column to make it a 3x3 because it has to be the same I get 0. Please help me solve this problem \n" );
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Algebra.Com's Answer #763012 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "On solving 3 x 3-systems of linear equation by the Cramer's rule see the lesssons\r \n" ); document.write( "\n" ); document.write( " - Determinant of a 3x3 matrix \r \n" ); document.write( "\n" ); document.write( " - Co-factoring the determinant of a 3x3 matrix \r \n" ); document.write( "\n" ); document.write( " - HOW TO solve system of linear equations in three unknowns using determinant (Cramer's rule)\r \n" ); document.write( "\n" ); document.write( " - Solving systems of linear equations in three unknowns using determinant (Cramer's rule)\r \n" ); document.write( "\n" ); document.write( " - Solving word problems by reducing to systems of linear equations in three unknowns\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \n" ); document.write( " \"3x3-Matrices, determinants, Cramer's rule for systems in three unknowns\" \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II \n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In addition, there are many free of charge SOLVERS on a Cramer's rule in the Internet.\r\n" ); document.write( "\r\n" ); document.write( "One of such popular solvers is in this site under the links\r\n" ); document.write( "\r\n" ); document.write( " https://www.algebra.com/algebra/homework/Matrices-and-determiminant/determinant-of-3x3-matrix.solver\r\n" ); document.write( "\r\n" ); document.write( " https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Also, there are many sites in the Internet containing (free of charge) solvers to calculate 3x3 - determinants \r\n" ); document.write( "and to solve systems of equations by the Cramer's rule -- see, for example,\r\n" ); document.write( "\r\n" ); document.write( " https://www.algebra.com/algebra/homework/Matrices-and-determiminant/determinant-of-3x3-matrix.solver\r\n" ); document.write( "\r\n" ); document.write( "and\r\n" ); document.write( "\r\n" ); document.write( " https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver\r\n" ); document.write( "\r\n" ); document.write( "directly in the site www.algebra.com\r\n" ); document.write( "\r\n" ); document.write( "and universal multi-purpose solver \r\n" ); document.write( "\r\n" ); document.write( " http://www.reshish.com\r\n" ); document.write( "\r\n" ); document.write( "with many options.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "===============\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In your case, of course, the key issue was to write the matrix in correct form (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |