document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201190>Question 201190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey guys and girls, I have a bit of a problem here I have 50 home work questions that I have to submit by mid-night and I'm in a bit over my head at this point with both my summer classes and there finals tonight and tomorrow. If any body can help me with a few of these problems I would be very, very greatfull!I have to solve the follwing A,{Y=^X2+4X-5 & Y=-X^2+12X-11]          B, {X^2+Y^=193 &X-Y=5} C, {X*Y=45 & 3X-Y=-6} D,{X*Y=8 & X^2+Y^2=65} E, {X+Y=-8 & (X-2)^2+(Y+7)^2=5}                                                     <BR>\n" );
document.write( "I know this is not normal but I have to be at school to take one of my finals and I,m not too good at the substitution method these questions would probabley take me 2 hours to get the correct solutions not to mention the other 46 problems I have to solve! So if anybody is generous enough to help me with these solutions THANK YOU!!! fyi summer sessions are horrible.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151411 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A,{Y=^X2+4X-5 & Y=-X^2+12X-11<BR>\n" );
document.write( "I assume you want to find the values of x common to these 2 eqns, where they intersect.<BR>\n" );
document.write( "Since they both = y, they equal each other.<BR>\n" );
document.write( "X^2+4X-5 = -X^2+12X-11<BR>\n" );
document.write( "2x^2 - 8x + 6 = 0<BR>\n" );
document.write( "(2x - 2)*(x - 3) = 0<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "x = 3 --> y = 16 gives the point (3,16)<BR>\n" );
document.write( "x = 1 --> y = 0 gives the point (1,0)<BR>\n" );
document.write( "These are the 2 points of intersection of the 2 functions.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "B, X^2+Y^2=193 &X-Y=5<BR>\n" );
document.write( "x = y+5<BR>\n" );
document.write( "(y+5)^2 + y^2 = 193<BR>\n" );
document.write( "y^2 + 10y + 25 + y^2 = 193<BR>\n" );
document.write( "2y^2 + 10y - 168 = 0<BR>\n" );
document.write( "y^2 - 5y - 84 = 0<BR>\n" );
document.write( "(y-12)*(y+7) = 0<BR>\n" );
document.write( "y = -7<BR>\n" );
document.write( "y = 12<BR>\n" );
document.write( "Sub and solve for x as in the 1st one.<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "C X*Y=45 & 3X-Y=-6<BR>\n" );
document.write( "y = 3x+6<BR>\n" );
document.write( "x*(3x+6) = 45<BR>\n" );
document.write( "x^2 + 2x - 15 = 0<BR>\n" );
document.write( "(x+5)*(x-3) = 0<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "D X*Y=8 & X^2+Y^2=65<BR>\n" );
document.write( "Similar to B but with 4 points of intersection.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "E X+Y=-8 & (X-2)^2+(Y+7)^2=5<BR>\n" );
document.write( "More of the same<BR>\n" );
document.write( "email me via the thank you note if you want me to check your work.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );