document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774225>Question 774225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi, could u please help me with this question.. the X^2 + Y^2 has throw me off!\r<BR>\n" );
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document.write( "Q. Solve for x and y the equations..\r<BR>\n" );
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document.write( "x+2y=6<BR>\n" );
document.write( "x^2+y^2=17\r<BR>\n" );
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document.write( "Many Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472158 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can do this by substitution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2y+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+6+-+2y+ ALIGN=MIDDLE  ALT=\"+x+=+6+-+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+y%5E2+=+17+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+y%5E2+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6+-+2y+%29%5E2+%2B+y%5E2+=+17+ ALIGN=MIDDLE  ALT=\"+%28+6+-+2y+%29%5E2+%2B+y%5E2+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+-+24y+%2B+4y%5E2+%2B+y%5E2+=+17+ ALIGN=MIDDLE  ALT=\"+36+-+24y+%2B+4y%5E2+%2B+y%5E2+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5y%5E2+-+24y+%2B+19+=+0+ ALIGN=MIDDLE  ALT=\"+5y%5E2+-+24y+%2B+19+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+5+ ALIGN=MIDDLE  ALT=\"+a+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-24+ ALIGN=MIDDLE  ALT=\"+b+=+-24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+19+ ALIGN=MIDDLE  ALT=\"+c+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-%28-24%29+%2B-+sqrt%28+%28-24%29%5E2+-+4%2A5%2A19+%29%29+%2F+%282%2A5%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28-%28-24%29+%2B-+sqrt%28+%28-24%29%5E2+-+4%2A5%2A19+%29%29+%2F+%282%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+24+%2B-+sqrt%28+576+-+380+%29%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+y+=+%28+24+%2B-+sqrt%28+576+-+380+%29%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+24+%2B-+sqrt%28+196+%29%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+y+=+%28+24+%2B-+sqrt%28+196+%29%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+24+%2B-+14%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+y+=+%28+24+%2B-+14%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+38%2F10+ ALIGN=MIDDLE  ALT=\"+y+=+38%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3.8+ ALIGN=MIDDLE  ALT=\"+y+=+3.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+10%2F10+ ALIGN=MIDDLE  ALT=\"+y+=+10%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1+ ALIGN=MIDDLE  ALT=\"+y+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Plug these results back into either equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2y+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2%2A3.8+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2%2A3.8+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+7.6+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+7.6+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1.6+ ALIGN=MIDDLE  ALT=\"+x+=+-1.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you have the point ( -1.6, 3.8 )<BR>\n" );
document.write( "and, plugging in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1+ ALIGN=MIDDLE  ALT=\"+y+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2y+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2%2A1+=+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+2%2A1+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the point ( 4,1 )<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-8%2C+8%2C+-8%2C+8%2C++-%281%2F2%29%2Ax+%2B+3%2C+sqrt%28+17+-+x%5E2+%29%2C+-sqrt%28+17+-+x%5E2+%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );