document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106112>Question 1106112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve nonlinear equation by using substraction and addition method.<BR>\n" );
document.write( "1) {x+2y=0 (x-1)^2 + (y-1)^2=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721054 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Please accept these my notices:\r<BR>\n" );
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document.write( "1.  &nbsp;&nbsp;From  https://english.stackexchange.com/questions/3640/is-substract-versus-subtract-a-proper-word\r<BR>\n" );
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document.write( "    \"Subtract\" is the word. Though the obsolete word \"substract\" did exist, any occurrence you see these days \r\n" );
document.write( "     is most likely just a common mistake, formed by analogy either with \"abstract\" or with other languages \r\n" );
document.write( "     whose corresponding words do have two 's's. Many recent dictionaries do not list \"substract\".\r\n" );
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document.write( "2.  &nbsp;&nbsp;Even if to treat your  &nbsp;\"substraction\" &nbsp;as &nbsp;<U>subtraction</U>, &nbsp;<U>it DOES NOT work</U>&nbsp; for this system.\r<BR>\n" );
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document.write( "3.  &nbsp;&nbsp;Instead, &nbsp;the &nbsp;<U>SUBSTITUTION</U> &nbsp;method works:\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;From the linear equation express  &nbsp;x = -2y  &nbsp;and substitute it into the non-linear equation. &nbsp;You will get\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(-2y-1)^ + (y-1)^2 = 5.\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is the quadratic equation. &nbsp;Simplify it to the standard form and solve by any method.\r<BR>\n" );
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document.write( "So, the final conclusion is that the condition in this post is <U>INCORRECT</U>.\r<BR>\n" );
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document.write( "The correct condition is <U>THIS</U>:\r<BR>\n" );
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document.write( "    solve nonlinear equation by using the SUBSTITUTION method.\r\n" );
document.write( "    1) {x+2y=0 (x-1)^2 + (y-1)^2=5\r\n" );
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document.write( "And I just showed you how to solve it . . . \r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Systems-of-equations/Solving-the-system-of-alg-eqns-of-deg2-deg1.lesson>Solving systems of algebraic equations of degree 2 and degree 1</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "You will find there many similar solved systems.\r<BR>\n" );
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