document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19270>Question 19270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can you please help me with this one?\r<BR>\n" );
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document.write( "The question is:<BR>\n" );
document.write( "Solve the system of linear equations by the addition method.  Then state whether the system is independent, inconsistent or dependent:<BR>\n" );
document.write( "1/2x + 1/3y = 1/3<BR>\n" );
document.write( "1/6x + 1/3y = 2/9\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 #9321 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question is:<BR>\n" );
document.write( "Solve the system of linear equations by the addition method.  Then state whether the system is independent, inconsistent or dependent:<BR>\n" );
document.write( "1/2x + 1/3y = 1/3........multiply throughout with 6..<BR>\n" );
document.write( "3x+2y=2............(1)<BR>\n" );
document.write( "1/6x + 1/3y = 2/9.......multiply throughout with 18<BR>\n" );
document.write( "3x+6y=4............(2)<BR>\n" );
document.write( "eqn.(2)-eqn.(1)...4y=2..or...y=2/4=1/2<BR>\n" );
document.write( "substituting in (1)...3x+2*1/2=2<BR>\n" );
document.write( "3x=2-1=1<BR>\n" );
document.write( "x=1/3...<BR>\n" );
document.write( "since we got unique solution for x and y ,the equations are consistent and independent </SPAN>\n" );
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