document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199235>Question 1199235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system <BR>\n" );
document.write( "x^2+y^2=100<BR>\n" );
document.write( " y=x^2-3x-10<BR>\n" );
document.write( " y=x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833023 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are three equations and only two variables, so the system might be inconsistent.  Pick two of the equations to solve simultaneously and see if the solution satisfies the third equation.<br><BR>\n" );
document.write( "Substitute the third equation in the first:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B2%29%5E2=100 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B2%29%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2B4x%2B4=100 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B4x%2B4=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4x-96=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-96=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-48=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x-6%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8 ALIGN=MIDDLE  ALT=\"x+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The possible solutions are (x,y)=(-8,-6) and (x,y)=(6,8)<BR>\n" );
document.write( "See whether each solution satisfies the second given equation.<br><BR>\n" );
document.write( "x = -8: x^2-3x-10 = 64+24-10 = 78  NO<br><BR>\n" );
document.write( "x = 6: x^2-3x-10 = 36-18-10 = 8  YES<br><BR>\n" );
document.write( "ANSWER: x=6; y=8<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );