document.write( "Question 1038914: Find the value of
\n" ); document.write( " x+(x-y)=71
\n" ); document.write( " y-(x-y)=5 \n" ); document.write( "

Algebra.Com's Answer #653640 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find the value of
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\n" ); document.write( " y-(x-y)=5
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\n" ); document.write( "\n" ); document.write( "You probably want to say \"Find the solution of the system\".\r
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document.write( "x + (x-y) = 71,    (1)\r\n" );
document.write( "y - (x-y) =  5.    (2)\r\n" );
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document.write( "Add eqns (1) and (2). You will get\r\n" );
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document.write( "x + y = 76.        (1')\r\n" );
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document.write( "Now distract eqn.(2) from the eqn.(1). You will get\r\n" );
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document.write( "3(x - y) = 66.     (2')\r\n" );
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document.write( "Next divide (2') by 3 (both sides). You will get an equivalent system\r\n" );
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document.write( "x + y = 76,        (1'')\r\n" );
document.write( "x - y = 22.        (2'').\r\n" );
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document.write( "Now add (1'') and (2''). You will get\r\n" );
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document.write( "2x = 98  --->  x =  = 49.\r\n" );
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document.write( "Then from (1'')  y = 76 - x = 76 - 49 = 27.\r\n" );
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document.write( "Answer.  x = 49, y = 27.\r\n" );
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