document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184612>Question 184612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linear System Extension Thinking & Inquiry Questions<BR>\n" );
document.write( "8. A triangle is formed by the intersection of the lines 2x+3y=14, 4x-5y=-16, and the x-axis. Find the area of the triangle<BR>\n" );
document.write( "Could you help me please with this question because i am really confused. Thank you very much!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138556 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Since the <i>x</i> axis forms one side of the triangle, use that as the base.\r<BR>\n" );
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document.write( "Find the <i>x</i>-intercepts of each of the two equations by substituting 0 for <i>y</i> in each of them.  Then the length of the base of the triangle will be the magnitude of the difference between these <i>x</i>-intercepts.\r<BR>\n" );
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document.write( "Next find the point of intersection of the two lines represented by the two given equations by solving the 2-equation, 2-variable linear system.  This one lends itself readily to solution by elimination if you go for eliminating the <i>x</i> term.  Once you have that point of intersection, the <i>y</i>-coordinate will be the height of the triangle.\r<BR>\n" );
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document.write( "Now that you know the length of the base and the height, just use the triangle area formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A = \frac{bh}{2}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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