document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389468>Question 389468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y+3=(-5/2)(x-5)<BR>\n" );
document.write( "Y=(5/3)x^2+5x-12)<BR>\n" );
document.write( "How do I solve the above system using an algebraic method. I also need to verify my results by graphing the system. I also have to find the area bounded by the system. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276217 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=276217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y+3 = (-5/2)(x-5)<BR>\n" );
document.write( "Y =(-5/2)x+(25/2)-3<BR>\n" );
document.write( "   =(-5/2)x+(25/2)-(6/2)<BR>\n" );
document.write( "   =(-5/2)x+(19/2)<BR>\n" );
document.write( "This function is a straight line with a slope of -5/2 and y-intercept of 19/2\r<BR>\n" );
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document.write( "second function:<BR>\n" );
document.write( "y =(5/3)x^2+5x-12<BR>\n" );
document.write( "This function is a parabola that opens upwards and has a y-intercept of -12\r<BR>\n" );
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document.write( "To solve, set both equations equal to each other:\r<BR>\n" );
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document.write( "(-5/2)x+(19/2) =(5/3)x^2+5x-12<BR>\n" );
document.write( "multiply both sides of the equation by the LCD=6<BR>\n" );
document.write( "-15x+57 =10x^2+30x-72<BR>\n" );
document.write( "10x^2+45x-129 = 0<BR>\n" );
document.write( "use following quadratic equation to solve with a=10, b=45, and c=-72<BR>\n" );
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document.write( "x =(45±84.76)/20 = -6.49 or 1.99<BR>\n" );
document.write( "y = (-5/2)* (-6.49)+(19/2) =25.7<BR>\n" );
document.write( "y = (-5/2)* (1.99)+(19/2) = 4.53\r<BR>\n" );
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document.write( "Points of intersection are (-6.49,25.7) and (1.99,4.53)\r<BR>\n" );
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document.write( "The area bounded is the bottom of the parabola cut off by the straight line at the points of intersection\r<BR>\n" );
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document.write( "You can confirm these figures by using a graphing calculator like a TI-83 or a PC graphing program which I have done.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2.5x%2B9.5%2C1.67x%5E2%2B5x-12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2.5x%2B9.5%2C1.67x%5E2%2B5x-12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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