document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125918>Question 1125918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 7f-6f= 13 what does f equal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742257 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Think of f as an actual object, say it's a flute. If we have 1 flute, then we can simply write f or 1f. Having 2 flutes means 2f. Three flutes would be written in shorthand as 3f. And so on.\r<BR>\n" );
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document.write( "For our equation,<BR>\n" );
document.write( "7f = 7 flutes<BR>\n" );
document.write( "6f = 6 flutes\r<BR>\n" );
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document.write( "Writing the expression 7f-6f means \"we had 7 flutes, and then we took away 6 flutes\". So that means we end up with 1 flute or 1f or just f. This property is called \"combining like terms\". Like terms have the same variable to allow for such combination.\r<BR>\n" );
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document.write( "Therefore, 7f-6f = 13 turns into 1f = 13 or <b><font size=4 color=red>f = 13</font></b>\r<BR>\n" );
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document.write( "Let's check the answer. \r<BR>\n" );
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document.write( "Replace every copy of 'f' with 13 and use PEMDAS to simplify the left side\r<BR>\n" );
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document.write( "7f-6f = 13<BR>\n" );
document.write( "7*13-6*13 = 13 .... every f replaced with 13<BR>\n" );
document.write( "91 - 78 = 13<BR>\n" );
document.write( "13 = 13 <BR>\n" );
document.write( "We end up with a true equation, so that confirms that <b><font size=4 color=red>f = 13</font></b> is the proper answer. <BR>\n" );
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