document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712963>Question 712963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I understand that the point of elimination is to eliminate one variable in order to isolate the other. But what happens in cases where both variables would be eliminated? For example, \r<BR>\n" );
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document.write( "2x + 18y = 22<BR>\n" );
document.write( "-x - 9y = -11<BR>\n" );
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document.write( "I found that x = 2 and y = 1 through guesswork, but I'm not sure how I could get the correct answers using elimination alone. I tried multiplying the lower set by negative two and got stuck with 0 = 0. \r<BR>\n" );
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document.write( "Thank you very much in advance\r<BR>\n" );
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document.write( "Also, I have to say, the example of a bad question made me chuckle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438238 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=438238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I understand that the point of elimination is to eliminate one variable in order to isolate the other. But what happens in cases where both variables would be eliminated? For example, \r<BR>\n" );
document.write( "\n" );
document.write( "2x + 18y = 22<BR>\n" );
document.write( "-x - 9y = -11<BR>\n" );
document.write( " <BR>\n" );
document.write( "I found that x = 2 and y = 1 through guesswork, but I'm not sure how I could get the correct answers using elimination alone. I tried multiplying the lower set by negative two and got stuck with 0 = 0. <BR>\n" );
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document.write( "The 1st eqn is -2 times the 2nd.<BR>\n" );
document.write( "--> dependent --> an infinite # of solutions.<BR>\n" );
document.write( "You can pick and value for x and find y, or vice versa.<BR>\n" );
document.write( "If you graph them, you get the same line 2 times.<BR>\n" );
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