document.write( "Question 1058114: X^x+y^y=31
\n" ); document.write( "X+y=5. Find x and y
\n" ); document.write( "

Algebra.Com's Answer #673135 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The system of two equations \r\n" );
document.write( "\r\n" );
document.write( "\"x%5Ex\" + \"y%5Ey\" = 31,\r\n" );
document.write( "x + y = 5\r\n" );
document.write( "\r\n" );
document.write( "Has two solutions:\r\n" );
document.write( "\r\n" );
document.write( "     1)  x = 2,  y = 3\r\n" );
document.write( "\r\n" );
document.write( "and/or\r\n" );
document.write( "\r\n" );
document.write( "     2)  x = 3,  y = 2.\r\n" );
document.write( "\r\n" );
document.write( "I don't know if it has other solutions.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Plots y = \"x%5Ex+%2B+%285-x%29%5E%285-x%29\", y = 31\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Looking in the plot above, it seems that there are no other solutions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );