document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170618>Question 170618</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977274/algebrahomeworkh>Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of x and y.\r<BR>\n" );
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document.write( "In equangular triangle ABC, AB = 4x - y, BC = 2x + 3y, and AC = 7. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125946 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=125946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AB,BC,and AC are all equal to each other because this is an equilateral triangle....with this info we can create 2 equations with 2 unknowns(a set of linear equations)<BR>\n" );
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document.write( "4x-y=7...eq 1<BR>\n" );
document.write( "2x+3y=7..eq 2<BR>\n" );
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document.write( "multiply eq 1 by 3 and add to eq 2 to eliminate the y terms<BR>\n" );
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document.write( "12x+2x=21+7<BR>\n" );
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document.write( "14x=28<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plugging x's value into eq 1 we get 4(2)-y=7......solving for y<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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