document.write( "Question 43105: Solve the following systems: \r\n" );
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document.write( " 2x - y = 1\r\n" );
document.write( " 6y - 2x = 9
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Algebra.Com's Answer #28118 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! Solve the following systems: \r\n" ); document.write( "\r\n" ); document.write( " 2x - y = 1\r\n" ); document.write( " 6y - 2x = 9\r\n" ); document.write( "\r\n" ); document.write( "By substitution:\r\n" ); document.write( "\r\n" ); document.write( "Solve the first for y:\r\n" ); document.write( "\r\n" ); document.write( " 2x - y = 1\r\n" ); document.write( " 2x - 1 = y\r\n" ); document.write( " y = 2x - 1\r\n" ); document.write( "\r\n" ); document.write( "Substitute (2x - 1) for y in the second:\r\n" ); document.write( "\r\n" ); document.write( " 6y - 2x = 9\r\n" ); document.write( " 6(2x - 1) - 2x = 9\r\n" ); document.write( " 12x - 6 - 2x = 9\r\n" ); document.write( " 10x - 6 = 9\r\n" ); document.write( " 10x = 15\r\n" ); document.write( " x = 15/10\r\n" ); document.write( " x = 3/2\r\n" ); document.write( "\r\n" ); document.write( "Substitute 3/2 for x in y = 2x - 1\r\n" ); document.write( " \r\n" ); document.write( " y = 2x - 1\r\n" ); document.write( " y = 2(3/2) - 1\r\n" ); document.write( " y = 3 - 1\r\n" ); document.write( " y = 2\r\n" ); document.write( "\r\n" ); document.write( "The solution is (x,y) = (3/2, 2)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\n" ); document.write( " |