document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232411>Question 232411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3/14x - 1/14y = 1/2 and 6x = 2(y+5)<BR>\n" );
document.write( "The directions state to describe each system of equations as consistent and independent, consistent and dependent, or inconsistent  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171755 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/14x - 1/14y = 1/2 <BR>\n" );
document.write( "Multiply both sides by the LCD which is 14:\r<BR>\n" );
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document.write( "14(3/14x - 1/14y) = 14*1/2 <BR>\n" );
document.write( "3x - y = 7 \r<BR>\n" );
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document.write( "For the second equation, you need to put it in standard form.  Remove parentheses first:\r<BR>\n" );
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document.write( " 6x = 2y+10\r<BR>\n" );
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document.write( " 6x - 2y=10\r<BR>\n" );
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document.write( "Divide both sides by 2:<BR>\n" );
document.write( "3x-y=5\r<BR>\n" );
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document.write( "The system to be solved is <BR>\n" );
document.write( "3x-y=7<BR>\n" );
document.write( "3x-y=5\r<BR>\n" );
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document.write( "Now, subtract the second equation from the first equation:<BR>\n" );
document.write( "3x-y-(3x-y)=7-5<BR>\n" );
document.write( "3x-y-3x+y=2<BR>\n" );
document.write( "0=2\r<BR>\n" );
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document.write( "NO WAY!!  Since there is NO SOLUTION, this means that the lines are PARALLEL, and the system is said to be \"INCONSISTENT.\"\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus <BR>\n" );
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