document.write( "Question 36875: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is consistent or dependent.\r
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document.write( "x + 5y = 10
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document.write( "-2x-10y=-10 \n" );
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Algebra.Com's Answer #22730 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Solve the following system by addition. If a unique solution does not exist, state \n" ); document.write( "whether the system is inconsistent or dependent. \n" ); document.write( "x + 5y = 10...................................................I \n" ); document.write( "-2x – 10y = -20.................................II \n" ); document.write( "-2*EQN.I GIVES \n" ); document.write( "-2X-10Y=-20....WHICH IS SAME AS EQN.II... \n" ); document.write( "HENCE THEY ARE DEPENDENT EQUATIONS. \n" ); document.write( "SO INEFFECT WE HAVE ONLY ONE EQN.TO SOLVE FOR 2 UNKOWNS. \n" ); document.write( "HENCE WE SHALL HAVE INFINTE SOLUTIONS LIKE IN THIS CASE \n" ); document.write( "X=0....Y=2 \n" ); document.write( "X=10...Y=0...ETC.. \n" ); document.write( "IMPORTANT NOTE. \n" ); document.write( "THEY HAVE INFINITE SOLUTIONS BUT NOT ANY AND EVERY VALUE OF X AND Y.FOR EXAMPLE IF X=0 ,THEN Y HAS TO EQUAL 2 ONLY NOT ANY OTHER VALUE.SO IT HAS INFINITE SETS OF X AND Y PAIRS FOR ITS SOLUTION \n" ); document.write( " |