document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530090>Question 530090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the method of substitution to solve the system. (Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)\r<BR>\n" );
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document.write( "y2&#8722;4x2=19<BR>\n" );
document.write( "9y2+16x2=275<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349875 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "With this one y2&#8722;4x2=19<BR>\n" );
document.write( "              9y2+16x2=275<BR>\n" );
document.write( "Work with the first equation and set it up as:<BR>\n" );
document.write( "y2= 4x^2 + 19<BR>\n" );
document.write( "Now substitute this into the second equation:\r<BR>\n" );
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document.write( "9(4x^2+19)+16x^2=275 <BR>\n" );
document.write( "Expand this out:<BR>\n" );
document.write( "36x^2+171+16x^2=275<BR>\n" );
document.write( "Combine like terms and subtract 171 to get:<BR>\n" );
document.write( "52x^2=104<BR>\n" );
document.write( "Divide by 52 to get:<BR>\n" );
document.write( "x^2=2<BR>\n" );
document.write( "Square root both sides:<BR>\n" );
document.write( "x= +-sq rt 2<BR>\n" );
document.write( "Plug this into the original equation to get:<BR>\n" );
document.write( "y = +-3 sq rt 3<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com <BR>\n" );
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