document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181747>Question 181747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Method the Substitution<BR>\n" );
document.write( "14. The following three lines intersect to form a triangle.<BR>\n" );
document.write( "y=x+1<BR>\n" );
document.write( "2x+y=4<BR>\n" );
document.write( "x+y=5<BR>\n" );
document.write( "a) Find the coordinates of each vertex.<BR>\n" );
document.write( "b) Is this a right triangle? Explain how you know.<BR>\n" );
document.write( "Thank you very muchhhhhhhhhh pleaseeeeeeeeeee </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136481 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=136481\">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( "You have three pairs of equations, equations 1 and 2, equations 2 and 3, and equations 1 and 3.  Solve each system for the point of intersection.  The three solutions will be your vertices.\r<BR>\n" );
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document.write( "If it is a right triangle, then two of the sides will be perpendicular.  Perpendicular lines have slopes that are negative reciprocals of each other. That is to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math L_1 \perp L_2 \ \Leftrightarrow \ m_1 = \frac {-1}{m_2}\">\r<BR>\n" );
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document.write( "Put all three of your equations in slope-intercept form (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y = mx + b\">).  If any pair of slope numbers has the negative reciprocal arrangement, then those two lines are perpendicular and the triangle is a right triangle.  Otherwise, it is not a right triangle.\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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