document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433391>Question 433391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equation.\r<BR>\n" );
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document.write( "1. y=x^2+3x+6<BR>\n" );
document.write( "   y=-x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300434 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the substitution method we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B2=x%5E2%2B3x%2B6 ALIGN=MIDDLE  ALT=\"-x%2B2=x%5E2%2B3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we solve this quadratic equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, as you see the left side is the square of sum.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x+2=0 => x=-2. Substitute this value of x on the second equation \r<BR>\n" );
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document.write( "of the system to find y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28-2%29%2B2=4 ALIGN=MIDDLE  ALT=\"y=-%28-2%29%2B2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,thus the solution is the point (-2, 4). </SPAN>\n" );
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