document.write( "Question 320905: If 3^x+2^y= 995 and 3^x – 2^y= 473, find the value of x+y. \n" ); document.write( "

Algebra.Com's Answer #229837 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"3%5Ex%2B2%5Ey=+995\"$
\n" ); document.write( "2. $\"3%5Ex-2%5Ey=+473\"$
\n" ); document.write( "Add eq. 1 and eq. 2 together,
\n" ); document.write( " $\"3%5Ex%2B2%5Ey%2B3%5Ex-2%5Ey=1468\"$
\n" ); document.write( " $\"2%2A3%5Ex=1468\"$
\n" ); document.write( " $\"3%5Ex=734\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"734%2B2%5Ey=995\"$
\n" ); document.write( " $\"2%5Ey=261\"$
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\n" ); document.write( " $\"3%5Ex=734\"$
\n" ); document.write( " $\"x=log%283%2C%28734%29%29\"$
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\n" ); document.write( " $\"2%5Ey=261\"$
\n" ); document.write( " $\"y=log%282%2C%28261%29%29\"$
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\n" ); document.write( " $\"x%2By=log%283%2C%28734%29%29%2Blog%282%2C%28261%29%29\"$
\n" ); document.write( " $\"x%2By=log%28%28734%29%29%2Flog%28%283%29%29%2Blog%28%28261%29%29%2Flog%28%282%29%29\"$ \n" ); document.write( "

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