document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187837>Question 187837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph both equations of eah system on the same coordinate axes.  Use elimination of variables to find all pts of intersection.\r<BR>\n" );
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document.write( "y = x^2 + 5x + 6<BR>\n" );
document.write( "y = x + 11\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140824 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=140824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. \r<BR>\n" );
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document.write( "y = x^2 + 5x + 6<BR>\n" );
document.write( "y = x + 11 \r<BR>\n" );
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document.write( "Subtract the 2nd equation from the 1st to solve for \"x\":<BR>\n" );
document.write( "0 = x^2 + 4x - 5<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x+5)(x-1) = 0<BR>\n" );
document.write( "x = -5 or x = 1<BR>\n" );
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document.write( "If x= -5 then y = -5+11 = 6: point of intersection (-5,6)<BR>\n" );
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document.write( "If x = 1 then y = 1+11 = 12; point of intersection (1,12)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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