document.write( "Question 92959This question is from textbook
\n" );
document.write( ": The following matrix is obtained from a system of equations
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "The solution to the system is ___________. \n" );
document.write( "
Algebra.Com's Answer #67681 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! The following matrix is obtained from a system of equations \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution to the system is ___________. \n" ); document.write( " \r\n" ); document.write( "This matrix is an abbreviation for\r\n" ); document.write( "\r\n" ); document.write( "1x + 0x + 6z = 5\r\n" ); document.write( "0x + 1y - 4z = 3\r\n" ); document.write( "0x + 0y + 2z = -6\r\n" ); document.write( "\r\n" ); document.write( "or, after erasing the 0 terms and the \r\n" ); document.write( "1 coefficients:\r\n" ); document.write( "\r\n" ); document.write( " x + 6z = 5\r\n" ); document.write( " y - 4z = 3\r\n" ); document.write( " 2z = -6\r\n" ); document.write( "\r\n" ); document.write( "Solve the bottom equation for z\r\n" ); document.write( "\r\n" ); document.write( " 2z = -6\r\n" ); document.write( " z = -3\r\n" ); document.write( "\r\n" ); document.write( "Substitute that in the middle equation:\r\n" ); document.write( "\r\n" ); document.write( " y - 4z = 3\r\n" ); document.write( " y - 4(-3) = 3\r\n" ); document.write( " y + 12 = 3\r\n" ); document.write( " y = -9\r\n" ); document.write( "\r\n" ); document.write( "Substitute z = -3 in the top equation:\r\n" ); document.write( "\r\n" ); document.write( " x + 6z = 5\r\n" ); document.write( " x + 6z = 5\r\n" ); document.write( " x + 6(-3) = 5\r\n" ); document.write( " x - 18 = 5\r\n" ); document.write( " x = 23\r\n" ); document.write( "\r\n" ); document.write( "So the solution is\r\n" ); document.write( "\r\n" ); document.write( "(x, y, z) = (23, -9, -3)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |