document.write( "Question 24351: In the given system of equations is consistent and dependent, consistent and independent or inconsistent.
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document.write( "3x-y=7
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document.write( "6x-2x=9
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document.write( " what does these terms mean? \n" );
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Algebra.Com's Answer #12951 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! In the given system of equations is consistent \n" ); document.write( "MEANS WHETHER THERE IS ANY SET OF VALUES FOR X AND Y WHICH SATISFIES BOTH THE GIVEN EQUATIONS. \n" ); document.write( " and dependent,MEANS WHETHER ONE EQUATION CAN BE GOT FROM THE OTHER BY SUITABLE AND PERMISSIBLE TRANSFORMATION \r \n" ); document.write( "\n" ); document.write( " consistent and independent,MEANS THAT ONE EQUATION CANNOT BE OBTAINED FROM THE OTHER EQUATION BY BY ANY SUITABLE AND PERMISSIBLE TRANSFORMATION .\r \n" ); document.write( "\n" ); document.write( "or inconsistent.MEANS THERE ARE NO SET OF VALUES FOR X AND Y WHICH SATISFY BOTH THE EQUATIONS. \n" ); document.write( "3x-y=7.....I....... \n" ); document.write( "6x-2x=9...I THINK IT SHOULD BE 6X-2Y=9........II \n" ); document.write( " what does these terms mean?NOW I THINK YOU KNOW WHAT THE TERMS MEAN.THERE ARE TESTS FOR FINDING THESE SITUATIONS.WE SHALL RESTRICT THE ANALYSIS TO YOUR PROBLEM AFTER THE CORRECTION MENTIONED ABOVE. \n" ); document.write( "WE FIND THAT ON L.H.S OF THE 2 EQNS.WE HAVE 3X-Y AND 6X-2Y WHICH ARE DIRECT MULTIPLES BY 2 .THAT IS WE GET LHS OF EQN.2 BY MULTIPLYING THE EQN 1 WITH 2 \n" ); document.write( "WE GET EQN.I *2 ....6X-2Y=14 \n" ); document.write( "WHERE AS EQN.II SAYS 6X-2Y=9..SO IF WE TRY TO SATISFY EQN.I ,EQN II WILL NOT BE SATISFIED AND IF WE TRY TO SATISFY EQN II ,EQN.I WILL NOT BE SATISFIED.SO THERE ARE NO VALUES OF X AND Y WHICH SATISFY BOTH EQUATIONS.SO WE SAY THE GIVEN EQNS. ARE INCONSISTENT. \n" ); document.write( " \n" ); document.write( " |