document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157885>Question 157885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight. \r<BR>\n" );
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document.write( "Set up a system of linear equations to represent the two angles and graph each of the equations on one rectangular coordinate system. \r<BR>\n" );
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document.write( "Alexander, D. C., & Koeberlein, M. G. (2003). Elementary geometry for college students (3rd ed.). Boston: Houghton Mifflin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116334 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=116334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A + B = 180 degrees<BR>\n" );
document.write( "2*A = B-48<BR>\n" );
document.write( "A is angle A<BR>\n" );
document.write( "B is angle B is the supplementary angle to A.<BR>\n" );
document.write( "48 is the product of 6 * 8.<BR>\n" );
document.write( "if 2*A = B-48, then A = (B-48)/2<BR>\n" );
document.write( "substituting in the first equation (A+B=180), we get<BR>\n" );
document.write( "(B-48)/2 + B = 180<BR>\n" );
document.write( "multiplying both sides to remove the fraction, we get<BR>\n" );
document.write( "(B-48) + 2B = 360<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "3B - 48 = 360<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "3B = 360 + 48 = 408<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "B = 408 / 3 = 136 degrees<BR>\n" );
document.write( "if B is 136 degrees than A must be 180 - 136 degrees = 44 degrees.<BR>\n" );
document.write( "answer looks like B = 136 degrees and A = 44 degrees.<BR>\n" );
document.write( "substituting values in the equation 2*A = B-48, we get<BR>\n" );
document.write( "2*44 = 136 - 48 which becomes<BR>\n" );
document.write( "88 = 88 which proves the calculated values for A and B are correct.<BR>\n" );
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