document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041726>Question 1041726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I feel I should know this already sorry. But why multiply by 6? (1/6)x - (2/3)x;<BR>\n" );
document.write( "if you put into like terms just multiply 2/3 by 2 for ((4/6)x  \r<BR>\n" );
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document.write( "Your 2nd eqn has no x term.<BR>\n" );
document.write( " If you meant:<BR>\n" );
document.write( " Y = (1/6)x + 3 and Y = (2/3)x + 0<BR>\n" );
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document.write( " Since they both = y,<BR>\n" );
document.write( " (1/6)x + 3 = (2/3)x<BR>\n" );
document.write( " Multiply by 6<BR>\n" );
document.write( " x + 18 = 4x<BR>\n" );
document.write( " 3x = 18<BR>\n" );
document.write( " x = 6<BR>\n" );
document.write( " y = 4<BR>\n" );
document.write( " --> (6,4) <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656664 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=656664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fractions are generally a pain. So if they are found in equations, it's usually a good idea to clear them out.\r<BR>\n" );
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document.write( "Multiplying both sides by 6 will clear them out since 6 is the LCD (lowest common denominator)\r<BR>\n" );
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document.write( "Notice how 6*(1/6) = 6/6 = 1. So that fraction goes away<BR>\n" );
document.write( "Also, notice how 6*(2/3) = 12/3 = 4. That fraction goes away as well.\r<BR>\n" );
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document.write( "So (1/6)x + 3 = (2/3)x turns into x + 18 = 4x. The two equations are equivalent\r<BR>\n" );
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document.write( "Hopefully you agree that x + 18 = 4x is much simpler compared to (1/6)x + 3 = (2/3)x </SPAN>\n" );
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