document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188829>Question 188829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+ ALIGN=MIDDLE  ALT=\"+y%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 169<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > -8y = 104\r<BR>\n" );
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document.write( "Could you please prvide me with a detailed explanation of how you achieved the solution. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141614 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=141614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 = 169<BR>\n" );
document.write( "x^2 - 8y  = 104 <BR>\n" );
document.write( "-------------------Subtraction eliminates x^2<BR>\n" );
document.write( "y^2 + 8y = 65<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "y^2 + 8y - 65 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(y + 13)(y - 5) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "y = -13<BR>\n" );
document.write( "y = +5<BR>\n" );
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document.write( "Find x when y = -13 using the 1st equation:<BR>\n" );
document.write( "x^2 + (-13)^2 = 169<BR>\n" );
document.write( "x^2 + 169 = 169<BR>\n" );
document.write( "x^2 = 169 - 169<BR>\n" );
document.write( "x^2 = 0<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "when y = 5<BR>\n" );
document.write( "x^2 + 5^2 = 169<BR>\n" );
document.write( "x^2 = 169 - 25<BR>\n" );
document.write( "x^2 = 144<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28144%29 ALIGN=MIDDLE  ALT=\"sqrt%28144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +/-12<BR>\n" );
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document.write( "Check solutions x=0, y=-13, in 2nd equation<BR>\n" );
document.write( "0 - 8(-13) = 104<BR>\n" );
document.write( "0 + 104 = 104<BR>\n" );
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document.write( "Check solutions x=+/-12, y=5 in 2nd equation<BR>\n" );
document.write( "12^2 - 8(5) = 104<BR>\n" );
document.write( "144 - 40 = 104<BR>\n" );
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document.write( "Graphing it,we can see the actual solutions are; x=-12, y=5 and x=+12, y=5:<BR>\n" );
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