document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47193>Question 47193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -	Determine how many solutions exist<BR>\n" );
document.write( "-	Use either elimination or substitution to find the solutions (if any)<BR>\n" );
document.write( "-	Graph the two lines, labeling the x-intercepts, y-intercepts, and <BR>\n" );
document.write( "        points of intersection  \r<BR>\n" );
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document.write( "y = 2x + 3  and  y = -x - 4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31250 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> - Determine how many solutions exist:  One solution (-7/3, -5/3)<BR>\n" );
document.write( "- Use the substitution method: <BR>\n" );
document.write( "y = 2x + 3 and y = -x - 4 [Substitute one equation for \"y\"]<BR>\n" );
document.write( "2x + 3 = -x - 4 [Solve for x]<BR>\n" );
document.write( "2x+x+3=-x+x-4<BR>\n" );
document.write( "3x+3-3=-4-3<BR>\n" );
document.write( "3x=-7<BR>\n" );
document.write( "3x/3=-7/3<BR>\n" );
document.write( "x=-7/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = 2x + 3  [Plug-in  (x=-7/3) back into one of the original equations]<BR>\n" );
document.write( "y = 2(-7/3) + 3 [Solve for y]<BR>\n" );
document.write( "y=-5/3<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "[Plug the values of x and y back into one of the original equations]<BR>\n" );
document.write( "y = -x - 4 <BR>\n" );
document.write( "-5/3 = -(-7/3)-4<BR>\n" );
document.write( "-1.66= -1.66 [Checks out]<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "- Graph the two lines, labeling the x-intercepts, y-intercepts, and <BR>\n" );
document.write( "points of intersection:<BR>\n" );
document.write( "Plot the following points and label on the graph:  <BR>\n" );
document.write( "y-intercept of y = 2x+3 = (0, 3)<BR>\n" );
document.write( "x-intercept of y = 2x+3 = (-3/2, 0)<BR>\n" );
document.write( "y-intercept of y = -x-4 = (0, -4)<BR>\n" );
document.write( "x-intercpet of y = -x-4 = (-4, 0).<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Points of intersection: (-7/3, -5/3)\r<BR>\n" );
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