document.write( "Question 906682: 4x - y= 2
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document.write( "3y + z= 9
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document.write( "x + 2z= 7 \n" );
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Algebra.Com's Answer #550005 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "(1) 4x - y = 2\r\n" ); document.write( "(2) 3y + z = 9\r\n" ); document.write( "(3) x + 2z = 7\r\n" ); document.write( "\r\n" ); document.write( "z is already eliminated in (1),\r\n" ); document.write( "\r\n" ); document.write( "so eliminate z from (2) and (3)\r\n" ); document.write( "\r\n" ); document.write( "Solve (2) for z\r\n" ); document.write( "\r\n" ); document.write( "(2) 3y + z = 9\r\n" ); document.write( " z = 9 - 3y\r\n" ); document.write( "\r\n" ); document.write( "Substitute 9-3y for z in (3)\r\n" ); document.write( "\r\n" ); document.write( "(3) x + 2z = 7\r\n" ); document.write( " x + 2(9-3y) = 7\r\n" ); document.write( " x + 18 - 6y = 7\r\n" ); document.write( "(4) x - 6y = -11\r\n" ); document.write( "\r\n" ); document.write( "Solve the system:\r\n" ); document.write( "\r\n" ); document.write( "(1) 4x - y = 2\r\n" ); document.write( "(4) x - 6y = -11\r\n" ); document.write( "\r\n" ); document.write( "Solve (4) for x\r\n" ); document.write( "\r\n" ); document.write( " x = -11+6y\r\n" ); document.write( "\r\n" ); document.write( "Substitute -11+6y for x in (1)\r\n" ); document.write( "\r\n" ); document.write( " 4(-11+6y) - y = 2 \r\n" ); document.write( " -44+24y - y = 2 \r\n" ); document.write( " 23y = 46\r\n" ); document.write( " y = 2\r\n" ); document.write( "\r\n" ); document.write( " x = -11+6y\r\n" ); document.write( " x = -11+6(2)\r\n" ); document.write( " x = -11+12\r\n" ); document.write( " x = 1 \r\n" ); document.write( "\r\n" ); document.write( "Substitute in \r\n" ); document.write( "\r\n" ); document.write( " z = 9 - 3y\r\n" ); document.write( " z = 9 - 3(2)\r\n" ); document.write( " z = 9 - 6\r\n" ); document.write( " z = 3\r\n" ); document.write( "\r\n" ); document.write( "(x,y,z) = (1,2,3)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |