document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194164>Question 194164</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry: Structure and Method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=25<BR>\n" );
document.write( "x-2y=-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145743 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)  x^2 +y^2 =25<BR>\n" );
document.write( "2)  x-2y=-5,,,,,,x = 2y-5<BR>\n" );
document.write( "subst<BR>\n" );
document.write( "(2y-5)^2 + y^2 = 25<BR>\n" );
document.write( "4y^2-20y+25 +y^2 -25 = 0<BR>\n" );
document.write( "combining  like  terms<BR>\n" );
document.write( "5y^2  -20y = 0 <BR>\n" );
document.write( "y ( 5y-20) = 0<BR>\n" );
document.write( "y=0,,,,,,5y-20=0,,  y = 4<BR>\n" );
document.write( "subst  in  x =2y-5<BR>\n" );
document.write( "x=-5,,,,,x=3<BR>\n" );
document.write( "(-5,0),,,,,and  (3,4)\r<BR>\n" );
document.write( "\n" );
document.write( "checking<BR>\n" );
document.write( "(-5,0)  in 2)  (-5)-2(0) = -5,,,ok<BR>\n" );
document.write( "in 1) (-5)^2 +(0)^2 = 25,,,,,ok<BR>\n" );
document.write( ",<BR>\n" );
document.write( "( 3,4),,  in  1)  (3)^2 + (4)^2 = 25   ,,,,,,,ok<BR>\n" );
document.write( "in 2)  (3) - 2 (4) = -5,,,ok<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );