document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207371>Question 207371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one width of a parallelogram is 21 and the side oppisite that side is 4a+b <BR>\n" );
document.write( "and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b?\r<BR>\n" );
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document.write( "(this question is from the star released question in the geometry section and its number 28, theres a diagram in there so it might help you see how the parallelogram looks like) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156840 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "If one width of a parallelogram is 21 and the side oppisite that side is 4a+b <BR>\n" );
document.write( "and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b?\r<BR>\n" );
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document.write( "Opposite sides of a parallelogram are congruent\r<BR>\n" );
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document.write( "Since the width is 21, and the opposite side = 4a + b, then 4a + b = 21\r<BR>\n" );
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document.write( "Since the length is 13, and the opposite side = 3a - 2b, then 3a - 2b = 13\r<BR>\n" );
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document.write( "4a + b = 21 ----- eq (i) ------(multiply by 2) -----> 8a + 2b = 42\r<BR>\n" );
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document.write( "3a - 2b = 13 ----- eq (ii)----((multiply by 1) -----> 3a - 2b = 13\r<BR>\n" );
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document.write( "11a  =  55\r<BR>\n" );
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document.write( "a = 5\r<BR>\n" );
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document.write( "4(5) + b = 21 [Substituting 5 for a in eq (i)]\r<BR>\n" );
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document.write( "20 + b = 21\r<BR>\n" );
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document.write( "b = 1\r<BR>\n" );
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document.write( "Therfore, a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285%29 ALIGN=MIDDLE  ALT=\"highlight_green%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281%29 ALIGN=MIDDLE  ALT=\"highlight_green%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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