document.write( "Question 1054993: the length of a room exceeds its breath by 3dm. If the length of a room had been increased by 3dm and breath is diminished by 2dm, the area would have not been altered. Find the dimensions. \n" ); document.write( "

Algebra.Com's Answer #670237 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "the length of a room exceeds its breath by 3dm. If the length of a room had been increased by 3dm and breath is diminished by 2dm,
\n" ); document.write( "the area would have not been altered. Find the dimensions.
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document.write( "x - y = 3,                (1)\r\n" );
document.write( "(x+3)*(y-2) - xy = 0.     (2)\r\n" );
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document.write( "Simplify (by opening parentheses in (2) )\r\n" );
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document.write( "x - y = 3,\r\n" );
document.write( "xy +3y - 2x -6 - xy = 0,\r\n" );
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document.write( "or\r\n" );
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document.write( "  x -  y = 3,             (1')\r\n" );
document.write( "-2x + 3y = 6.             (2')\r\n" );
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document.write( "Express x = 3+y from (1') and substitute it into (2'). You will get\r\n" );
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document.write( "-2(3+y) + 3y = 6.\r\n" );
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document.write( "Single equation for one unknown.\r\n" );
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document.write( "I am sure that you can complete the solution from this point.\r\n" );
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