document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49204>Question 49204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> B is between A and C. AB = 2x - 3, BC = 3x + 1, AC = 7x - 8, find BC.\r<BR>\n" );
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document.write( "I received a worksheet on the 2nd day of school. Please help I dont know where to begin with this one.\r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32726 by </B><A HREF=/tutors/aboutme.mpl?userid=Osran_Shri><B>Osran_Shri(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Osran_Shri><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=32726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us draw line and mark points A, C and inbetween point B as below :\r<BR>\n" );
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document.write( "    A_______________B________________________C<BR>\n" );
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document.write( "Note that  point B is between A & C but we dont know exactly how many units from either A or C....its ok no prob. We have to find out distance BC...fine..\r<BR>\n" );
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document.write( "Let us put the problem statement into equation as below:\r<BR>\n" );
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document.write( "AB = 2X-3<BR>\n" );
document.write( "BC = 3X+1<BR>\n" );
document.write( "AC = 7X-8\r<BR>\n" );
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document.write( "From the above line we know that :\r<BR>\n" );
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document.write( "AC = AB + BC\r<BR>\n" );
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document.write( "Now substitute the values interms of \"X\" as below,\r<BR>\n" );
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document.write( "(7X-8) = (2X-3) + (3X+1)<BR>\n" );
document.write( "7X-8 = 2X - 3 + 3X +1 = 5X-2\r<BR>\n" );
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document.write( "7X - 5X = 8 - 2 \r<BR>\n" );
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document.write( "2X = 6\r<BR>\n" );
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document.write( "X = 6/2 = 3\r<BR>\n" );
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document.write( "Now we want to know BC = ?\r<BR>\n" );
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document.write( "We know that:\r<BR>\n" );
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document.write( "BC = 3X+1 here substitute the value of \"X\" to get distance BC,\r<BR>\n" );
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document.write( "BC = 3*3 + 1 = 9+1 = 10 this is the answer.\r<BR>\n" );
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document.write( "You can verify the answer as below :\r<BR>\n" );
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document.write( "AC = AB + BC<BR>\n" );
document.write( "(7X-8) = (2X-3) + (3X+1) Substitute the values of X=3 and see that LHS = RHS of the equation. let us do that,\r<BR>\n" );
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document.write( "7*3-8 = 2*3-3 + 3*3+1<BR>\n" );
document.write( "21-8 = 6-3+9+1<BR>\n" );
document.write( "13 = 13 ( LHS = RHS )\r<BR>\n" );
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document.write( "Which means value of X=3 is correct.\r<BR>\n" );
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document.write( "Thats all....<BR>\n" );
document.write( "B.Shridhar\r<BR>\n" );
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document.write( " </SPAN>\n" );
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