document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959344>Question 959344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following equations of a line: <BR>\n" );
document.write( "X-5y=17<BR>\n" );
document.write( "Y-2=6(x+2)<BR>\n" );
document.write( "Y=(7/6x)+(14/3)\r<BR>\n" );
document.write( "\n" );
document.write( "Find the vertices of the triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586435 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the following equations of a line: <BR>\n" );
document.write( "X-5y=17<BR>\n" );
document.write( "Y-2=6(x+2)<BR>\n" );
document.write( "Y=(7/6x)+(14/3) <BR>\n" );
document.write( "Find the vertices of the triangle<BR>\n" );
document.write( "***<BR>\n" );
document.write( "vertices of the triangle are the points of intersection of the 3 equations above<BR>\n" );
document.write( "x-5y=17<BR>\n" );
document.write( "5y=x-17(eq.1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-2=6x+12<BR>\n" );
document.write( "y=6x+14(eq.2)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=7x/6+4/3<BR>\n" );
document.write( "6y=7x+8(eq.3)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5y=x-17(eq. 1)<BR>\n" );
document.write( "5y=30x+70(eq.2*5)<BR>\n" );
document.write( "subtract:<BR>\n" );
document.write( "-29x-87=0<BR>\n" );
document.write( "29x=-87<BR>\n" );
document.write( "x=-87/29=-3<BR>\n" );
document.write( "5y=x-17=-20<BR>\n" );
document.write( "y=-4<BR>\n" );
document.write( "point of intersection: (-3,-4)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5y=x-17(eq. 1)<BR>\n" );
document.write( "6y=7x+8(eq.3)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "30y=6x-102<BR>\n" );
document.write( "30y=35x+40<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "-29x-142=0<BR>\n" );
document.write( "29x=-142<BR>\n" );
document.write( "x=-4.90<BR>\n" );
document.write( "5y=x-17=-21.9<BR>\n" );
document.write( "y=-4.38<BR>\n" );
document.write( "point of intersection: (-4.90,-4.38)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=6x+14(eq.2)<BR>\n" );
document.write( "6y=7x+8(eq.3)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6y=36x+84<BR>\n" );
document.write( "6y=7x+8<BR>\n" );
document.write( "subtract:<BR>\n" );
document.write( "29x+76=0<BR>\n" );
document.write( "29x=-76<BR>\n" );
document.write( "x=-2.62<BR>\n" );
document.write( "y=6x+14=-1.72<BR>\n" );
document.write( "point of intersection: (-2.62,-1.72)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "vertices of the triangle are: (-3,-4),(-4.90,-4.38), (-2.62, -1.72)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );