document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003011>Question 1003011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLease help and show all work and answers because the answers I get is wrong. I do not know what I'm doing wrong. It been over 20 years so maybe that's the problem. Thanks for your help.\r<BR>\n" );
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document.write( "Use the elimination method to find all solutions of the system <BR>\n" );
document.write( "{x^2+y^2=5<BR>\n" );
document.write( " x^2&#8722;y^2=1\r<BR>\n" );
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document.write( " The four solutions of the system are: <BR>\n" );
document.write( " the one with x<0,y<0 is <BR>\n" );
document.write( "x=      <BR>\n" );
document.write( "y=      <BR>\n" );
document.write( " the one with x<0,y>0 is <BR>\n" );
document.write( "x=      <BR>\n" );
document.write( "y=      <BR>\n" );
document.write( " the one with x>0,y<0 is <BR>\n" );
document.write( "x=      <BR>\n" );
document.write( "y=      <BR>\n" );
document.write( " the one with x>0,y>0 is <BR>\n" );
document.write( "x=      <BR>\n" );
document.write( "y=  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619861 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=619861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the elimination method to find all solutions of the system<BR>\n" );
document.write( "x^2 + y^2 = 5<BR>\n" );
document.write( "x^2 - y^2 = 1 <BR>\n" );
document.write( "---------------Adding eliminates y^2, find x<BR>\n" );
document.write( "2x^2 = 6<BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "x^2 = 3<BR>\n" );
document.write( "x = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we know that x^2 = 3, substitute 3 for x^2 in the first equation<BR>\n" );
document.write( "3 + y^2 = 5<BR>\n" );
document.write( "y^2 = 5 - 3<BR>\n" );
document.write( "y^2 = 2<BR>\n" );
document.write( "y = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "The four solutions of the system are:<BR>\n" );
document.write( "the one with x<0,y<0 is<BR>\n" );
document.write( "x=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the one with x<0,y>0 is<BR>\n" );
document.write( "x=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the one with x>0,y<0 is<BR>\n" );
document.write( "x=+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the one with x>0,y>0 is<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );