document.write( "Question 1189132: Use proof by contradiction to prove/disprove that no integers x and y exist such that
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document.write( " 12y + 4x = 1 \n" );
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Algebra.Com's Answer #820382 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let's assume that x and y are integer numbers such that\r\n" ); document.write( "\r\n" ); document.write( " 12y + 4x = 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the left side is the number divisible by 4, but the right side is not such a number.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This contradiction proves, that integer numbers x and y, satisfying the given equation DO NOT EXIST.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The proof is complete.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |