document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213744>Question 213744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can anyone help me with this one please;\r<BR>\n" );
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document.write( "solve for w\r<BR>\n" );
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document.write( "1 = w + (1 - w) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161468 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> looks like 1 = w + (1-w)<BR>\n" );
document.write( "remove the parentheses to get:<BR>\n" );
document.write( "1 = w + 1 - w<BR>\n" );
document.write( "this becomes 1 = 1<BR>\n" );
document.write( "That is called an identity.<BR>\n" );
document.write( "w can be any value and the equation would be true.<BR>\n" );
document.write( "the equation being true means that it is not false.<BR>\n" );
document.write( "example of a false statement would be:<BR>\n" );
document.write( "2 = w + (1 - w)<BR>\n" );
document.write( "remove the parentheses and you get:<BR>\n" );
document.write( "2 = w + 1 - w<BR>\n" );
document.write( "w cancels out again and you are left with:<BR>\n" );
document.write( "2 = 1 only this time the statement is false.<BR>\n" );
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document.write( "a true statement when the unknown variable cancels out means the variable can be any value.<BR>\n" );
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document.write( "a false statement when the unknown variable cancels out means there is no solution to the problem.<BR>\n" );
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document.write( " </SPAN>\n" );
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