document.write( "Question 1072984: Help me with this simultaneous equations
\n" ); document.write( "\"2%5Ex-5%5Ey=3\"
\n" ); document.write( "and
\n" ); document.write( "\"2%5E%28x-2%29%2B5%5E%28y-2%29=2\"
\n" ); document.write( "

Algebra.Com's Answer #687836 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
\"2%5Ex-5%5Ey=3\" --> \"4%2A2%5E%28x-2%29+-+25%2A5%5E%28y-2%29+=+3\"
\n" ); document.write( "and
\n" ); document.write( "\"2%5E%28x-2%29%2B5%5E%28y-2%29=2\"
\n" ); document.write( "------------
\n" ); document.write( "\"4%2A2%5E%28x-2%29+-+25%2A5%5E%28y-2%29+=+3\"
\n" ); document.write( "\"2%5E%28x-2%29%2B5%5E%28y-2%29=2\"
\n" ); document.write( "--------
\n" ); document.write( "Sub r for 2^(x-2) and s for 5^(y-2)
\n" ); document.write( "4r - 25s = 3
\n" ); document.write( "2r + s = 2 times 2 --> 4r + 2s = 4
\n" ); document.write( "-----------
\n" ); document.write( "4r - 25s = 3
\n" ); document.write( "4r + 2s = 4
\n" ); document.write( "----------------------- Subtract
\n" ); document.write( "-27s = -1
\n" ); document.write( "s = 1/27
\n" ); document.write( "r = 53/54
\n" ); document.write( "================
\n" ); document.write( "\"2%5E%28x-2%29+=+r+=+53%2F54\"
\n" ); document.write( "(x-2)*log(2) = log(53/54)
\n" ); document.write( "x = 2 + log(53/54)/log(2)
\n" ); document.write( "----------
\n" ); document.write( "Solve for y the same way.
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