document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872785>Question 872785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system<BR>\n" );
document.write( "a) 4x^2 + 3y^2 = 16<BR>\n" );
document.write( "   5x+ y = 7<BR>\n" );
document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526401 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve second equation for y<BR>\n" );
document.write( "y = 7 - 5x<BR>\n" );
document.write( "substitute for y in first equation<BR>\n" );
document.write( "4x^2 +3(7-5x)^2 = 16<BR>\n" );
document.write( "4x^2 +3(49 -70x +25x^2) = 16<BR>\n" );
document.write( "4x^2 +147-210x+75x^2 = 16<BR>\n" );
document.write( "79x^2 -210x +131 = 0<BR>\n" );
document.write( "this factors into<BR>\n" );
document.write( "(79x -131)(x - 1) = 0<BR>\n" );
document.write( "x = 131/79 or 1<BR>\n" );
document.write( "solve for y in first equation<BR>\n" );
document.write( "y = 7 - 5(1) = 2<BR>\n" );
document.write( "y = 553/79 - 5(131/79) = -102/79<BR>\n" );
document.write( "our solution is <BR>\n" );
document.write( "x = 1, y = 2<BR>\n" );
document.write( "x = 131/79, y = -102/79<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );