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 #628526 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find vertices<BR>\n" );
document.write( "Intersection of 5x+7y=35 (red on graph) and x-axis (purple on graph):<BR>\n" );
document.write( "Set y=0, solve for x<BR>\n" );
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document.write( "5x+7(0)=35<BR>\n" );
document.write( "5x=35<BR>\n" );
document.write( "x=7<BR>\n" );
document.write( "One vertex is (7,0)(red crosses purple)<BR>\n" );
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document.write( "Intersection of 4x+3y=12 (green on graph) and x axis (purple on graph):<BR>\n" );
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document.write( "4x+3(0)=12<BR>\n" );
document.write( "4x=12<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Second vertex at (3,0) (green crosses purple)<BR>\n" );
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document.write( "The base is from (3,0)to (7,0)<BR>\n" );
document.write( "Length of base is (7-3)=4<BR>\n" );
document.write( "b=4<BR>\n" );
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document.write( "5x+7y=35 . Multiply this by 3 (red on graph)<BR>\n" );
document.write( "4x+3y=12 . Multiply this by 7 (green on graph)<BR>\n" );
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document.write( "15x+21y=105<BR>\n" );
document.write( "28x+21y=84 . Subtract second from first<BR>\n" );
document.write( "-13x=21<BR>\n" );
document.write( "x=-21/13<BR>\n" );
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document.write( "5x+7y=35<BR>\n" );
document.write( "5(-21/13)+7y=35<BR>\n" );
document.write( "-105/13+7y=35<BR>\n" );
document.write( "7y=455/13+105/13<BR>\n" );
document.write( "7y=560/13<BR>\n" );
document.write( "y=80/13<BR>\n" );
document.write( "Third vertex is (-21/13,80/13) (red crosses green)<BR>\n" );
document.write( "The height of the triangle is the y-value of this vertex.<BR>\n" );
document.write( "h=80/13<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"Area=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%281%2F2%29%284%29%2880%2F13%29 ALIGN=MIDDLE  ALT=\"Area=%281%2F2%29%284%29%2880%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=160%2F13 ALIGN=MIDDLE  ALT=\"Area=160%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+%28-5%2F7%29x%2B5%2C+%28-4%2F3%29x%2B4%2C+y=0%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );