document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149922>Question 1149922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do the equations 4x−6y=10 and 6x−12y=15 graph as the same line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771253 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "Write the coefficients and the right side value for the first and the second equations, separately.\r\n" );
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document.write( "For the first equation it is     (4,-6,10).\r\n" );
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document.write( "For the second equations it is   (6,-12,15).\r\n" );
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document.write( "Had these two triples be proportional  (with one common proportionality coefficient for all three terms), \r\n" );
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document.write( "then two equations would present the same line.\r\n" );
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document.write( "But in your case it is not so.\r\n" );
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document.write( "So, these two equations represent DIFFERENT lines.\r\n" );
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document.write( "Answered and explained.\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "It is very important subject, and you should read about it from different sources to get full understanding (!).\r<BR>\n" );
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document.write( "Happy learning (!)\r<BR>\n" );
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document.write( "Come again to this forum soon to learn something new (!)\r<BR>\n" );
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