document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329528>Question 329528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve the system of equations by the method of your choice:  <BR>\n" );
document.write( "2x-4y=6 and 4x+y=21\r<BR>\n" );
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document.write( "Are these equations independent, inconsistent, or dependent?  \r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Shelley E.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236209 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=236209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please solve the system of equations by the method of your choice: <BR>\n" );
document.write( "2x-4y=6 <BR>\n" );
document.write( "4x+y=21 <BR>\n" );
document.write( "Are these equations independent, inconsistent, or dependent?<BR>\n" );
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document.write( "Multiply the 1st equation by 2:<BR>\n" );
document.write( "4x-8y = 12<BR>\n" );
document.write( "4x+y  = 21<BR>\n" );
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document.write( "Subtract the 1st from the 2nd and solve for \"y\":<BR>\n" );
document.write( "9y = 9<BR>\n" );
document.write( "y = 1<BR>\n" );
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document.write( "Substitute into 2x-4y = 6 to solve for \"x\":<BR>\n" );
document.write( "2x-4*1 = 6<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
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