document.write( "Question 705235: p - 4 = -9 + p \n" ); document.write( "
Algebra.Com's Answer #434473 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "There is no solution.\r\n" );
document.write( "\r\n" );
document.write( " p - 4 = -9 + p\r\n" );
document.write( "\r\n" );
document.write( "We add -p to both sides\r\n" );
document.write( "\r\n" );
document.write( " p - 4 = -9 + p\r\n" );
document.write( "-p           -p\r\n" );
document.write( "---------------\r\n" );
document.write( "    -4 = -9\r\n" );
document.write( "\r\n" );
document.write( "When all variables are eliminated from an equation, and what is left\r\n" );
document.write( "is a false statemenr, then that means there is no solution.  Such an\r\n" );
document.write( "equation is called \"a contradiction\".\r\n" );
document.write( "\r\n" );
document.write( "When all variables are eliminated from an equation, and what is left\r\n" );
document.write( "is a true statement, that that means there are infinitely many solutions.\r\n" );
document.write( "\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Suppose we had had   x + 3 = 3 + x\r\n" );
document.write( "\r\n" );
document.write( "  x + 3 = 3 + x\r\n" );
document.write( " -x          -x\r\n" );
document.write( "---------------\r\n" );
document.write( "      3 = 3\r\n" );
document.write( "\r\n" );
document.write( "That is true so there are infinitely many solutions.  That is called \"an\r\n" );
document.write( "identity\".\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );