document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712254>Question 712254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:  CE bisects angle DCF<BR>\n" );
document.write( "measure of angle DCE = 2x+3y<BR>\n" );
document.write( "measure of ECF = 3x-y+2<BR>\n" );
document.write( "measure of DCF = 80<BR>\n" );
document.write( "find x and y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437839 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=437839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Those facts mean that 80 degrees is the sum of the measures of both angles, and the two angles resulting from the bisection are equal sizes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80=%282x%2B3y%29%2B%283x-y%2B2%29 ALIGN=MIDDLE  ALT=\"80=%282x%2B3y%29%2B%283x-y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=3x-y%2B2 ALIGN=MIDDLE  ALT=\"2x%2B3y=3x-y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, two equations and two variables.\r<BR>\n" );
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document.write( "Work on each to change into standard form, Ax+By=C and then use substitution or elimination to solve for x and y.\r<BR>\n" );
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document.write( "The \"80\" equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3x%2B3y-y%2B2=80 ALIGN=MIDDLE  ALT=\"2x%2B3x%2B3y-y%2B2=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B2y=80-2 ALIGN=MIDDLE  ALT=\"5x%2B2y=80-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285x%2B2y=78%29 ALIGN=MIDDLE  ALT=\"highlight%285x%2B2y=78%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  Use this equation in your system to solve.\r<BR>\n" );
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document.write( "The two equal angles equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3x%2B3y%2By=2 ALIGN=MIDDLE  ALT=\"2x-3x%2B3y%2By=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B4y=2 ALIGN=MIDDLE  ALT=\"-x%2B4y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x-4y=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x-4y=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  And use this equation in your system to solve.\r<BR>\n" );
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document.write( "You can finish the work.   </SPAN>\n" );
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