document.write( "Question 1110388: Solve for x and y, given:\r
\n" ); document.write( "\n" ); document.write( "25^x = 125 * 5^y
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Algebra.Com's Answer #725373 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The system\r\n" );
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document.write( "25^x = 125 * 5^y    (1)\r\n" );
document.write( "(4^x) * (8^-y)=1    (2)\r\n" );
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document.write( "is equivalent to\r\n" );
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document.write( " =     (1')\r\n" );
document.write( " =      (2')\r\n" );
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document.write( "Which in turn is equivalent to\r\n" );
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document.write( "2x = 3 + y           (1'')\r\n" );
document.write( "2x - 3y = 0.         (2'')\r\n" );
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document.write( "============>\r\n" );
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document.write( "2x -  y = 3\r\n" );
document.write( "2x - 3y = 0\r\n" );
document.write( "------------------------Subtract to get\r\n" );
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document.write( "     -y - (-3y) = 3  ====>  -y + 3y = 3  ====>  2y = 3  ====>  y = \r\n" );
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document.write( "====>  2x =  =   ====>  x = .\r\n" );
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document.write( "Answer.  x = ,  y = .\r\n" );
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