document.write( "Question 159161: a + b =1 a^-1 + b^-1 = 1 prove a = b and a^-1 = b^-1\r
\n" ); document.write( "\n" ); document.write( "I have that \r
\n" ); document.write( "\n" ); document.write( "a = b / (b-1) \r
\n" ); document.write( "\n" ); document.write( "b = 1-a\r
\n" ); document.write( "\n" ); document.write( "plugging in b to a\r
\n" ); document.write( "\n" ); document.write( "I get a = (1-a)/a\r
\n" ); document.write( "\n" ); document.write( "set those equal \r
\n" ); document.write( "\n" ); document.write( "(1-a)/a = b/(b-1)\r
\n" ); document.write( "\n" ); document.write( "can't solve any further
\n" ); document.write( "

Algebra.Com's Answer #117297 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm not sure if you have the right equations. If \"a=b\", then this means that \"a%2Bb=1\" becomes \"a%2Ba=1\" ===> \"2a=1\" which is NOT true for all values of \"a\". So double check the problem. \n" ); document.write( "
\n" );