document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194214>Question 194214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me--	Solve the system by the addition method.  Determine whether the equations are independent, dependent or inconsistent.\r<BR>\n" );
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document.write( "4x+3y = 2<BR>\n" );
document.write( "-12x – 9 y = - 6<BR>\n" );
document.write( "Thank you all </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145784 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=145784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by the addition method. Determine whether the equations are independent, dependent or inconsistent. <BR>\n" );
document.write( "4x+3y = 2<BR>\n" );
document.write( "-12x – 9 y = - 6<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 3 to get:<BR>\n" );
document.write( "12x + 9y = 6<BR>\n" );
document.write( "-12x- 9y = -6<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Addiing you get:<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "That means the two equations have the same graph.<BR>\n" );
document.write( "The system is said to be \"dependent\".<BR>\n" );
document.write( "The solution set is the set of points of the line.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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