document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43736>Question 43736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me to solve for x in terms of y and solve for y in terms of x for the following equation. <BR>\n" );
document.write( "3y^2+4xy-9y^2=-1\r<BR>\n" );
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document.write( "Email -  acrown1@umbc.edu </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28706 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=28706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can you help me to solve for x in terms of y and solve for y in terms of x for the following equation. <BR>\n" );
document.write( "3y^2+4xy-9y^2=-1<BR>\n" );
document.write( "Combining like terms you get the following:<BR>\n" );
document.write( "4xy-6y^2=-1 \r<BR>\n" );
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document.write( "Then x=[6y^2-1]/4y\r<BR>\n" );
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document.write( "To solve for \"y\" rearrange and use the quadratic formula to get:<BR>\n" );
document.write( "6y^2-4xy-1=0<BR>\n" );
document.write( "y=[4x+sqrt((4x)^2+4(6)]/12=[4x+sqrt(16x^2+24)]/12=[2x+sqrt(x^2+6)]/6<BR>\n" );
document.write( "OR <BR>\n" );
document.write( "y=[2x-sqrt(x^2+6)]/6\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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