document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59830>Question 59830</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by substitution \r<BR>\n" );
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document.write( "y = x^2 + 2x - 2 \r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "y = 3x + 4<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41223 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x^2 + 2x - 2 <BR>\n" );
document.write( "and <BR>\n" );
document.write( "y = 3x + 4;<BR>\n" );
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document.write( "Just substitute (3x+4) for y in the 1st equation:<BR>\n" );
document.write( "x^2 + 2x - 2 = y<BR>\n" );
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document.write( "x^2 + 2x - 2 = 3x + 4<BR>\n" );
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document.write( "Perform the necessay math operations to get everything on the left<BR>\n" );
document.write( "x^2 + 2x - 3x - 2 - 4 = 0<BR>\n" );
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document.write( "x^2 - 1x - 6 = 0<BR>\n" );
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document.write( "Factor easily to:<BR>\n" );
document.write( "(x - 3)(x + 2) = 0<BR>\n" );
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document.write( "x = +3 and x = -2<BR>\n" );
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document.write( "Check both solutions by substitution in both equations:<BR>\n" );
document.write( "x = +3<BR>\n" );
document.write( "3^2 + 2(3) - 2 = 13<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3(3) + 4 = 13<BR>\n" );
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document.write( "x = -2<BR>\n" );
document.write( "(-2)^2 + 2(-2) - 2 = -2<BR>\n" );
document.write( "and <BR>\n" );
document.write( "3(-2) + 4 = -2<BR>\n" );
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