document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748794>Question 748794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the given nonlinear system by the addition method. \r<BR>\n" );
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document.write( "4x^2–2y^2= –2\r<BR>\n" );
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document.write( "x^2+4y^2=40\r<BR>\n" );
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document.write( "Please show me the steps. thank you so much!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455654 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=455654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the given nonlinear system by the addition method.<BR>\n" );
document.write( "4x^2 – 2y^2= –2<BR>\n" );
document.write( " x^2 + 4y^2 = 40 <BR>\n" );
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document.write( "Multiply the 1st equation by 2, add to the 2nd equation<BR>\n" );
document.write( "8x^2 – 4y^2= –4<BR>\n" );
document.write( " x^2 + 4y^2 = 40<BR>\n" );
document.write( "--------------------Addition eliminates y^2, find x^2<BR>\n" );
document.write( "9x^2 = 36<BR>\n" );
document.write( "divide both sides by 9<BR>\n" );
document.write( "x^2 = 4<BR>\n" );
document.write( "x = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +2, <BR>\n" );
document.write( "x = -2<BR>\n" );
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document.write( "Find y using the 2nd equation, we know x^2 = 4<BR>\n" );
document.write( "4 + 4y^2 = 40<BR>\n" );
document.write( "4y^2 = 40 - 4<BR>\n" );
document.write( "4y^2 = 36<BR>\n" );
document.write( "divide both sides by 4<BR>\n" );
document.write( "y^2 = 9<BR>\n" );
document.write( "y = +/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29 ALIGN=MIDDLE  ALT=\"sqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = +3<BR>\n" );
document.write( "y = -3 \r<BR>\n" );
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document.write( "Check our solutions in the 1st equation<BR>\n" );
document.write( "4(4) - 2(9) = -2<BR>\n" );
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