document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018235>Question 1018235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> are  the two equations -6 + y = 2x and 2y - 4x = 12 dependent?\r<BR>\n" );
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document.write( "A. No, because they are not parallel<BR>\n" );
document.write( "B. Yes, because they have the same graph<BR>\n" );
document.write( "C. Yes, because both are the equations of straight lines<BR>\n" );
document.write( "D. No, because the equations are not written the same </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634399 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=634399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's a reference on type of systems of equations.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson\" target = \"_blank\">http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson</a>\r<BR>\n" );
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document.write( "the equations you have are dependent because they are equivalent to each other and therefore would generate the same line on the graph.\r<BR>\n" );
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document.write( "this means there are an infinite number of possible solutions that are common to both equations.\r<BR>\n" );
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document.write( "the best answer that fits is selection B.\r<BR>\n" );
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document.write( "the 2 equations are:\r<BR>\n" );
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document.write( "-6 + y = 2x and 2y - 4x = 12 \r<BR>\n" );
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document.write( "solve for y in the first equation to get y = 2x + 6.\r<BR>\n" );
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document.write( "solve for y in the second equaiton to get y = 2x + 6.\r<BR>\n" );
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document.write( "the equations are identical.\r<BR>\n" );
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document.write( "they have the same slope and the same y-intercept.\r<BR>\n" );
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document.write( "they're equivalent.\r<BR>\n" );
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document.write( "they fit the definition of dependent equations.\r<BR>\n" );
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document.write( "dependent equations are defined as:\r<BR>\n" );
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document.write( "here's another link that gives a definition of dependent equations.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://hotmath.com/hotmath_help/topics/consistent-and-dependent-systems.html\" target = \"_blank\">http://hotmath.com/hotmath_help/topics/consistent-and-dependent-systems.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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