document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012550>Question 1012550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find area of the triangle constructed by the lines5x+7y=35,4x+3y=12and x axis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628516 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find area of the triangle constructed by the lines5x+7y=35,4x+3y=12and x axis<BR>\n" );
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document.write( "Find the intersection of the 2 lines.\r<BR>\n" );
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document.write( "5x+7y=35<BR>\n" );
document.write( "4x+3y=12<BR>\n" );
document.write( "The y value of the intersection is 80/13<BR>\n" );
document.write( "Since the other 2 vertices are on the x-axis, 80/13 is the height of the triangle.<BR>\n" );
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document.write( "Find the intersections of the lines and the x-axis<BR>\n" );
document.write( "5x + 7y = 35<BR>\n" );
document.write( "@y = 0; x = 7<BR>\n" );
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document.write( "4x + 3y = 12<BR>\n" );
document.write( "@y = 0; x = 3<BR>\n" );
document.write( "The base = 7-3 = 4<BR>\n" );
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document.write( "Area = b*h/2 = (80/13)*4/2<BR>\n" );
document.write( "Area = 160/13 sq units </SPAN>\n" );
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