document.write( "Question 1144492: find x and y if, 3^(2x-y) = 1 and 16^x/4 = 8^3x-y \n" ); document.write( "
Algebra.Com's Answer #765649 by ankor@dixie-net.com(22740)\"\" \"About 
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find x and y if, 3^(2x-y) = 1 and 16^x/4 = 8^3x-y
\n" ); document.write( "assume it's
\n" ); document.write( "\"3%5E%28%282x-y%29%29+=+1\"
\n" ); document.write( "In order for 3^ to = 1,
\n" ); document.write( "2x-y = 0
\n" ); document.write( "2x = y\r
\n" ); document.write( "\n" ); document.write( " and
\n" ); document.write( "\"16%5E%28%28x%2F4%29%29+=+8%5E%28%283x-y%29%29\"
\n" ); document.write( "we can simplify this one
\n" ); document.write( "\"2%5E%284%28x%2F4%29%29+=+2%5E%283%283x-y%29%29\"
\n" ); document.write( "which is
\n" ); document.write( "\"2%5Ex+=+2%5E%28%289x-3y%29%29\"
\n" ); document.write( "therefore
\n" ); document.write( "x = 9x - 3y
\n" ); document.write( "3y = 9x - x
\n" ); document.write( "3y = 8x
\n" ); document.write( "y = \"8%2F3\"x
\n" ); document.write( ":
\n" ); document.write( "No solution
\n" ); document.write( "
\n" );