document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975762>Question 975762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations <BR>\n" );
document.write( "y = x^2 + 3<BR>\n" );
document.write( "y = x + 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597426 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x² + 3 <BR>\n" );
document.write( "y = x + 5\r<BR>\n" );
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document.write( "x + 5 = x² + 3 {substituted (x + 5), in for y, into top equation}<BR>\n" );
document.write( "x² - x - 2 = 0 {subtracted x and 2 from each side}<BR>\n" );
document.write( "(x - 2)(x + 1) = 0 {factored into two binomials}<BR>\n" );
document.write( "x - 2 = 0 or x + 1 = 0 {set each factor equal to 0}<BR>\n" );
document.write( "x = 2 or x = -1 {solved each equation for x}\r<BR>\n" );
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document.write( "y = x = 5 {bottom original equation}<BR>\n" );
document.write( "y = 2 + 5 or y = -1 + 5 {substituted 2 and -1, in for x, into bottom original equation}<BR>\n" );
document.write( "y = 7 or y = 4 {solved each equation for y}\r<BR>\n" );
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document.write( "x = 2 and y = 7<BR>\n" );
document.write( "or <BR>\n" );
document.write( "x = -1 and y = 4<BR>\n" );
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