document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79336>Question 79336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:\r<BR>\n" );
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document.write( "4x^2-3y^2=24<BR>\n" );
document.write( "2x^2+3y^2=30\r<BR>\n" );
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document.write( "I know x=3 and y=2 but I just don't know in what form to put these in, i.e. (x,y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56992 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "Just add the equations,<BR>\n" );
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document.write( "4x^2 - 3y^2 = 24<BR>\n" );
document.write( "2x^2 + 3y^2 = 30<BR>\n" );
document.write( "------------------ adding eliminates y^2<BR>\n" );
document.write( "6x^2 + 0 = 54;<BR>\n" );
document.write( "x^2 = 54/6<BR>\n" );
document.write( "x^2 = 9<BR>\n" );
document.write( "x = Sqrt(9)<BR>\n" );
document.write( "x = +/-3<BR>\n" );
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document.write( "Substitute 3 for x in one of the equations and find y:<BR>\n" );
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document.write( "Then check your solutions in the other equation<BR>\n" );
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