document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177839>Question 177839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by substitution or elimination method. classify as consistent, inconsistent, or dependent and independent<BR>\n" );
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document.write( "4x-7y = 29<BR>\n" );
document.write( "2x+5y = -11<BR>\n" );
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document.write( "thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132818 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=132818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> elimination is almost always easier in my opinion:<BR>\n" );
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document.write( "what you are doing in elimination, also call addition or subtraction, is trying to manipulate the equations so that you can eliminate one variable<BR>\n" );
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document.write( "4x-7y=29......eq 1<BR>\n" );
document.write( "2x+5y=-11.....eq 2<BR>\n" );
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document.write( "I try to write these so the terms all line up, because it is much easier to see what is taking place. In this set of equations we either eliminate the x or y terms to eliminate the x terms we would multiply eq 2 by -2 and add the 2 equations together. To eliminate the y terms we would have to multiply eq 1 by 5 and eq 2 by 7.  It is obviously easier to go with the elimination of the x terms since we only have to multiply out one equation.<BR>\n" );
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document.write( "so eq 2 when multiplied by -2 results in -2(2x+5y=-11)--->-4x-10y=22. now lets take this revised eq 2 and place it directily under eq 1 that did not have to be manipulated<BR>\n" );
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document.write( "4x-7y=29......eq 1<BR>\n" );
document.write( "-4x-10y=22....eq 2 revised<BR>\n" );
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document.write( "now we need to add these two equations together. It is easy to see with these equations lined up that the x terms will be eliminated because 4x-4x=0.  We are left with -7y-10y=29+22<BR>\n" );
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document.write( "-17y=51<BR>\n" );
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document.write( "now take y's found value and plug it back into any numbered equation we have and solve for x. I choose eq 1.<BR>\n" );
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document.write( "4x-7(-3) = 29<BR>\n" );
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document.write( "4x+21=29<BR>\n" );
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document.write( "4x=8<BR>\n" );
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