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
\n" ); document.write( "\n" ); document.write( "x + 5y = 10
\n" ); document.write( "-2x-10y=-10
\n" ); document.write( "

Algebra.Com's Answer #22730 by venugopalramana(3286)\"\" \"About 
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( "
\n" );