document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777170>Question 777170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of equations and solve: <BR>\n" );
document.write( "The curve y=ax^2+bx passes through (2,0) and (4,8). Find a and b.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473952 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=473952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The curve y=ax^2+bx passes through (2,0) and (4,8). Find a and b.<BR>\n" );
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document.write( "(2,0) gives the equation:: 0 = 4a + 2b<BR>\n" );
document.write( "(4,8) gives the equation:: 8 = 16a+ 4b<BR>\n" );
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document.write( "Modify for elimination:::<BR>\n" );
document.write( "8a + 4b = 0<BR>\n" );
document.write( "16a+ 4b = 8<BR>\n" );
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document.write( "Subtract and solve for \"a\":<BR>\n" );
document.write( "8a = 8<BR>\n" );
document.write( "a = 1<BR>\n" );
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document.write( "Solve for \"b\":<BR>\n" );
document.write( "4a + 2b = 0<BR>\n" );
document.write( "4 + 2b = 0<BR>\n" );
document.write( "b = -2<BR>\n" );
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document.write( "Equation: y = x^2 -2x<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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